{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonlinear Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     "execution_count": 2,
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   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "The Kalman filter that we have developed uses linear equations, and so the filter can only handle linear problems. But the world is nonlinear, and so the classic filter that we have been studying to this point can have very limited utility. \n",
    "\n",
    "There can be nonlinearity in the process model. Suppose we want to track an object falling through the atmosphere. The acceleration of the object depends on the drag it encounters. Drag depends on air density, and the air density decreases with altitude. In one dimension this can be modelled with the nonlinear differential equation\n",
    "\n",
    "$$\\ddot x = \\frac{0.0034ge^{-x/22000}\\dot x^2}{2\\beta} - g$$\n",
    "\n",
    "A second source of nonlinearity comes from the measurements. For example, radars measure the slant range to an object, and we are typically interested in the aircraft's position over the ground. We invoke Pythagoras and get the nonlinear equation:\n",
    "\n",
    "$$x=\\sqrt{\\mathtt{slant}^2 - \\mathtt{altitude}^2}$$\n",
    "\n",
    "These facts were not lost on the early adopters of the Kalman filter. Soon after Dr. Kalman published his paper people began working on how to extend the Kalman filter for nonlinear problems. \n",
    "\n",
    "It is almost true to state that the only equation anyone knows how to solve is $\\mathbf{Ax}=\\mathbf{b}$. We only really know how to do linear algebra. I can give you any linear set of equations and you can either solve it or prove that it has no solution. \n",
    "\n",
    "Anyone with formal education in math or physics has spent years learning various analytic ways to solve integrals, differential equations and so on. Yet even trivial physical systems produce equations that cannot be solved analytically. I can take an equation that you are able to integrate, insert a $\\log$ term, and render it insolvable. This leads to jokes about physicists stating \"assume a spherical cow on a frictionless surface in a vacuum...\". Without making extreme simplifications most physical problems do not have analytic solutions.\n",
    "\n",
    "How do we do things like model airflow over an aircraft in a computer, or predict weather, or track missiles with a Kalman filter?  We retreat to what we know: $\\mathbf{Ax}=\\mathbf{b}$. We find some way to linearize the problem, turning it into a set of linear equations, and then use linear algebra software packages to compute an approximate solution. \n",
    "\n",
    "Linearizing a nonlinear problem gives us inexact answers, and in a recursive algorithm like a Kalman filter or weather tracking system these small errors can sometimes reinforce each other at each step, quickly causing the algorithm to spit out nonsense. \n",
    "\n",
    "What we are about to embark upon is a difficult problem. There is not one obvious, correct, mathematically optimal solution anymore. We will be using approximations, we will be introducing errors into our computations, and we will forever be battling filters that *diverge*, that is, filters whose numerical errors overwhelm the solution. \n",
    "\n",
    "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then teach you how to design and implement different kinds of nonlinear filters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Problem with Nonlinearity\n",
    "\n",
    "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multiply them we get another Gaussian as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin$ as an output.\n",
    "\n",
    "What I mean by linearity may be obvious, but there are some subtleties. The mathematical requirements are twofold:\n",
    "\n",
    "* additivity: $f(x+y) = f(x) + f(y)$\n",
    "* homogeneity: $f(ax) = af(x)$\n",
    "\n",
    "\n",
    "This leads us to say that a linear system is defined as a system whose output is linearly proportional to the sum of all its inputs. A consequence of this is that to be linear if the input is zero then the output must also be zero. Consider an audio amp - if I sing into a microphone, and you start talking, the output should be the sum of our voices (input) scaled by the amplifier gain. But if the amplifier outputs a nonzero signal such as a hum for a zero input the additive relationship no longer holds. This is because linearity requires that $amp(voice) = amp(voice + 0)$. This clearly should give the same output, but if amp(0) is nonzero, then\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "amp(voice) &= amp(voice + 0) \\\\\n",
    "&= amp(voice) + amp(0) \\\\\n",
    "&= amp(voice) + non\\_zero\\_value\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "which is clearly nonsense. Hence, an apparently linear equation such as\n",
    "\n",
    "$$L(f(t)) = f(t) + 1$$\n",
    "\n",
    "is not linear because $L(0) = 1$. Be careful!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Intuitive Look at the Problem\n",
    "\n",
    "I particularly like the following way of looking at the problem, which I am borrowing from Dan Simon's *Optimal State Estimation* [[1]](#[1]). Consider a tracking problem where we get the range and bearing to a target, and we want to track its position. The reported distance is 50 km, and the reported angle is 90$^\\circ$. Assume that the errors in both range and angle are distributed in a Gaussian manner. Given an infinite number of measurements what is the expected value of the position?\n",
    "\n",
    "I have been recommending using intuition to gain insight, so let's see how it fares for this problem. We might reason that since the mean of the range will be 50 km, and the mean of the angle will be 90$^\\circ$, that the answer will be x=0 km, y=50 km.\n",
    "\n",
    "Let's plot that and find out. Here are 3000 points plotted with a normal distribution of the distance of 0.4 km, and the angle having a normal distribution of 0.35 radians. We compute the average of the all of the positions, and display it as a star. Our intuition is displayed with a large circle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N = 5000\n",
    "a = np.pi/2. + (randn(N) * 0.35)\n",
    "r = 50.0     + (randn(N) * 0.4)\n",
    "xs = r * np.cos(a)\n",
    "ys = r * np.sin(a)\n",
    "\n",
    "plt.scatter(xs, ys, label='Sensor', color='k', \n",
    "            alpha=0.4, marker='.', s=1)\n",
    "xmean, ymean = sum(xs) / N, sum(ys) / N\n",
    "plt.scatter(0, 50, c='k', marker='o', s=200, label='Intuition')\n",
    "plt.scatter(xmean, ymean, c='r', marker='*', s=200, label='Mean')\n",
    "plt.axis('equal')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that out intuition failed us because the nonlinearity of the problem forced all of the errors to be biased in one direction. This bias, over many iterations, can cause the Kalman filter to diverge. Even if it doesn't diverge the solution will not be optimal. Linear approximations applied to nonlinear problems yields inaccurate results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Effect of Nonlinear Functions on Gaussians\n",
    "\n",
    "Gaussians are not closed under an arbitrary nonlinear function. Recall the equations of the Kalman filter - at each evolution we pass the Gaussian representing the state through the process function to get the Gaussian at time $k$. Our process function was always linear, so the output was always another Gaussian.  Let's look at that on a graph. I will take an arbitrary Gaussian and pass it through the function $f(x) = 2x + 1$ and plot the result. We know how to do this analytically, but let's use sampling. I will generate 500,000 points with a normal distribution, pass them through $f(x)$, and plot the results. I do it this way because the next example will be nonlinear, and we will have no way to compute this analytically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import normal\n",
    "\n",
    "data = normal(loc=0., scale=1., size=500000)\n",
    "plt.hist(2*data + 1, 1000);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, nonlinear function, and output at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import set_figsize, figsize\n",
    "from kf_book.nonlinear_plots import plot_nonlinear_func\n",
    "\n",
    "def g1(x):\n",
    "    return 2*x+1\n",
    "\n",
    "plot_nonlinear_func(data, g1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n",
    "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n",
    "\n",
    "The plot labeled 'Input' is the histogram of the original data. This is passed through the  function $f(x)=2x+1$ which is displayed in the chart on the bottom left. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the right. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. A solid blue line shows the actual mean for the point $x=0$. The output looks like a Gaussian, and is in fact a Gaussian. We can see that the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean The computed mean, represented by the dotted blue line, is nearly equal to the actual mean. If we used more points in our computation we could get arbitrarily close to the actual value.\n",
    "\n",
    "Now let's look at a nonlinear function and see how it affects the probability distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g2(x):\n",
    "    return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n",
    "\n",
    "plot_nonlinear_func(data, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This result may be somewhat surprising to you. The function looks \"fairly\" linear, but the probability distribution of the output is completely different from a Gaussian.  Recall the equations for multiplying two univariate Gaussians:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2} \\\\\n",
    "\\sigma &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n",
    "\\end{aligned}$$\n",
    "\n",
    "These equations do not hold for non-Gaussians, and certainly do not hold for the probability distribution shown in the 'Output' chart above. \n",
    "\n",
    "Here's another way to look at the same data as scatter plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rxffeedaDCBpqca0oA1WERbt4P8mKZxVmzzzzy3/Hq/3WV/u9d36rigotvXh/7+//7TQvrvWdXipejmfhed5Nf6aU+TfPt9M4fy7c7P2/2HNprxxJM/CSQpZqcnFNeOb6f/nZz18i9zSxWAeguDc3gn5UrBNVFbaCQjamQJhc2ffe7xMkcG4Muggdv5BzpgyzJgwC6IWwaIGfPPP/KRAlhXydNYs+Hu+DKsC+CjR0cCJYm8Bj/9/fsWgXfZ4fF+tAL4BOAH4Gh22YNqGpQ8eDMyPIKeT2hgf9uOh3zoDNAA5Xiu+xPIFDlWJ96gfFd4xSmCTFGljVijUBivUhzeBgtfjsztosAwnFd9hZl4chCEBte73ZefaaWHzf660fL9X4uRFeyXP22e79ucj8m1YMjh07xqOPPspwOORP/uRP+Imf+Am+9KUv7b4vCMIl7fM8v+K1y7m8zdXaP5c2l/MLv/AL/Kt/9a92/3Ych6WlJe6//36q1eqz3uONEscxn//853nPe96DoigvSJ/fbuycFMRpRg6oksh0tTiZ6DgBUZoh5imPfvXvuPdtb2fNiRgHCbfMVADYmoQM3Jh5EYZ+wjtvneZCz8MeuCiSBEA9TZmpGrx+qc7qwKM7iTBVkZVBwMY4wFIlRATe1TR4/OKQexo6cSZQMRSCKMXWJTrjiDBJOTJbJU4yjqoiD57pcSzPMU2V25fq/MVja1SUmJW+R6tlkWsRgp9SqetUagayBN1xyERJWO6OubVZ4U13zVE3NR44uUUvdwkSjyjOqe5rgKZAnBBKIjM1nXF3zMNPnuMNtx5ktmWjqxInHllhnMfU7CpHj0wheBECAgfaJt+8MGAs+GSaRM2UCYIM1ZDZVzM4352woEoMJhFvOtiiZirIokjVlJmydS70PKb9kEmQUdElvDjjWMNgbeBjRzFRmnOXrfHU2ghDU1iYq3BoymZ9GDAOIjrjgDDOuf1AA0USd3/buqny1LpDnKaYmkJ/EnFwymTkJRiaiCKKu2Ng57dq2yoLDZPVgcfxtRFJmtI9/Rg/9v4XZ148F8vHzljdO35fCl5OGbFzYn4zlDL/xnmly//nev83O5dudr4WcsQBchqWhiKJBHGC4yfomojrJUhZytbpx7n/XW8nzES+cb6PGac0TJmlpo2hifQnEY9fHDGvihydqeBFGXoUI4oCkiCSphlTVYOcHFkSmLI1pio6qyMPx0tIsoy6F/PQuR77FzWSHJbqOoIgcHFjTMtQSEQB1wvpDSMWFmrcNV/l9OaEnJz9UzaPXRgymHQJUqjWKhw7PMXmxR5PrZzh0MEl4rpJoApkaoAvicxaKidPdBAlWJYUmlN1jtwyxdnHVzi+2WW6opFrGpIFyTBAUWWecEPqlsymoXNwymR/kiHLMmrTIO77zFc1kiwnSTO8KGXoRbQsDUkSiOKUozM2LdvgyLTNU+sO6eaYiZ9woKmz2LB2X99yQuI0RRFz1k9+i7f/ve9k6KcICLRsdXc8XG987H2/bqovqBX7eryS5+yN3Ptzkfk3rRioqsqRI0cAuPfee3nooYf4z//5P/Nv/s2/AYqTnbm5ud32nU5n96RndnaWKIoYDAaXnCB1Oh3e9ra37bbZ3Ny84rpbW1uX9PO1r33tkvcHgwFxHF9xqrQXTdPQNO2K1xVFecEHxIvR54tBlGQMvIjGTUzCvh+QixKyKKFIIg1TRdn+7FRNYuBF2EqxWLerFoMIckFiy41BgCQVsU2FIMq4Y6lClAnsa1XYHEcYqkie5xCLGKrCyS2X+aqJoWuoosjKKEQRBC70fe47MkWYZBxsV1geuNy9r0lnHBLEKRVdQ8hjOpOIjZNdcnI0SeSe/U0uDjwqqsTfnNhCkRXWR2MkQeTxTZeWqTFfU7ljvoIbZZzuTJBEgS0nwI9THrkwYq5ho8oTBkHKOEjIgH1TNmkuUjcVNtYDRFFgHGRsDEPcGC70fXJBQJFkUmAcJpiqRpzlCILIbNXAT0EUZXqTmL4XoSoV3DhD1yDMMubrFo8s92nYKiuDAE2WeXpzQNVUuH2uhqEp9PyYuqVwujNm4Ef0JzHzLZ1NJyQXc0ZeQpBkJFmCEySsjULiDJwgZeAlZJnIl8/0ue/wFIoksuVFRKlAlMK6E+OHHpMo5uyWy+v2NcjjnJomseVF1CyD+WYFQ4+wVJm+n5ALEggSIz9iGECYCYz99KbG282MyUmcM2Pc2LzbGat7x+9LycshI57L9UqZf/O8UuT/tbjZ+7/ZuXQz8zVKMtbHEctDj2nLYEqRqOoqZy+4TMKU/kZAnGRI5GQBbLkpQZLQ9xMGbkiQaFh6QkNQ2HBCwizHm8S0KglxktF1IyRBZBSELNVNvCRDV0UQJGRFYXUU8pknOizUdebqBiuDAEESWR0GvG6xTpDlOF5CnOX03Zh2TeN8NyBKc5IMFKVQTPqTiAt9H1mVmYQpAiKSKPPoxRFPr03wYtgYBkiCRJZn5IKIbUnEKexrVTjTddDEnDN9n8Fj6zy+4jBJUrJxgKqqaBnMVS0u9iZEacKmk2HIKnEKuqrihglfPLlFnEKY5exvGARRTga0LJ0ozZAQQBSZrdvM1UzODzwMVaFu6uhyhCjKGJrCwE9pVQ1kRSIIM/oTDy+C890AW9eYbeiYqrw7Hq43Pva+P/Cim5blzzZ2bnR/80qes89278/lOz3v1TDPc8Iw5ODBg8zOzl5i0oiiiC996Uu7C8A999yDoiiXtFlfX+eJJ57YbfPWt76V0WjE17/+9d02X/va1xiNRpe0eeKJJ1hfX99t87nPfQ5N07jnnnue71d6TdFxAtaGPh0n2H0tSjI2nYAoya76mYapokgi0xWdmeql/vyqLDKzfSLQCwq/x5qhYqoScZLTn8SMgxhZlDjYtqkZKg1TJcoypqo6cZYjixKyJLA68hh5MWuOR8NU+eZKnwtbLt9aHTFd1dgYBdw5XwdJoGlqnO1MGHsxZ7suSZZhaBJkMAki1gYBawOPMM44NlfFizL6k4iRG3HPoSbTdZ22qeEGMa2qhhvnjLwIVRQQBTg2V6GiadRMmUcv9Bn5CWGcoskid841mLE0jkxZBHGOpkjkeY6qCKiKSBCDKgrkGZDlVHWVew60kCUIohRZEkiyjFMbY/w4IUpTDKWwBtQMCUkQmLUNxkGCLEuM3Jgwzbg48kjTnDTJ8aKE5Z6LkOWc7oxZGboM3YhRWDxrXRUhE1gd+AiiiCIJHGhXqJkq4zCmbmm8fl+TuiXRNFW8JCn+C1PO9yaICMjAwItJEjg4bWJqEkemqnhJQpzkLPcnu+Ngx6IEYKgSNaM4g7jQ84jTjI4TPOsYu5wbHZONbX/bG2FnrL4Up1KvJkqZX3I5NzuXrjZfrzbHoyTjVMdhMImwZIWBHxHHOSsDj9magQDM1w28KEWSBboB+FFCxwlYqBvMVA0W6gYIOe2KzmzVxA8T/CSlO4mIspSqrhRWbkQuDnyGk4itUUjXCVkfeZzeGGOrEr1xxNCNyAWBrlPEvEV5xlKjgiQKiIKAKktsjQJMTaZiyiDkPHyuT8WQsU2ZPM85v+VwbKbCbfMVqqZCmmRIokiUgiZLuFFC1VCxNZGKrGCZEnVD5pbpKrIsIeQZ3UFAECW0DI3FuoFIjpDDOIqIyWgZBjM1jUQATZaRBYEtN6LjhCiySBCnnOpMWB95WJqCpctULJkLPY/OKOTJ9RHL/QkjL2Z15KGrIrN1C00VcaMUBDBVmdvn6szUivX+orvtNpRnTNnFa26Q8OTakCjJnnV87B0/NyPLr7cuXG1/U3J9bspi8O/+3b/je77ne1haWmI8HvPJT36SL37xi3zmM59BEAQ+9KEP8cu//MscPXqUo0eP8su//MuYpsmP//iPA1Cr1fjpn/5pfu7nfo5Wq0Wz2eTnf/7nueuuu/ju7/5uAG677Tb+/t//+/zsz/4s/+2//TcA/sk/+Sd83/d9H8eOHQPg/vvv5/bbb+cDH/gAv/7rv06/3+fnf/7n+dmf/dkXxTz8qkaAJM3ougHT2xNzsL2pG3jR7ib/cs175jrm4qEXMY7gXNelYRsosoAqi1QEGTeIEQBlu59JkBQCSpWpmzabg4CVgUea5yxUBW6brXGq4yALAv1JiK1KjLyYg+0KbpRw92KTvzvVYbFp8NjKiKal4QQRdUujbqjoqoQoBExXdPw4oZ6pbE3C4pQ+iVFFiVvnqpzecHCjjK+f63LLdBVVEEgFcMMYxxe5bb7KysBjvmaSpAlNS0UUci70XN5ypEXFUAnTFF0W6boRtiYzDmIqChiazHzNZBzF7G8ZPL4yxFZkNpyQhqXyldUtRATGUcps3SCJM8IkxVJlKprC5jggTDMqmsTFXsC5rsfdS1WOzlYJwoTTnQlplrPSd7nQd6mpKvunLWarOkIOtirz8LktaqaCKAjM1jRMVWa6qqNIIuRQN1WqusLK0GO+auLGCZujgIapcm5rQhinLNR0EAUOTlWZsnXcKGG+arLmFJ957MKAvh9yoGlTswrBfmDKpudIdHXY1zJxo5yuG1DVi/evNpYuH28DL8INE7qTgKPT1SsWmBsZkyU3TynzS14MrjZfO07A1iTECxJMXd49PZa3DzJm6wa6KtAdB0yimH1Nm+843OL46pB9TZuB66NIRVDtoWmbzjjkrTMVTEVGUYqDrO44QFMkHD/mbMfhYMumaWnMVEQGfkSeC/zFYyssNkzqto7cFVio6hyYshGynOObzvYmM0eVRZIsRwBmqxrjIGJ14CHLhRto29ZZ6fmIwN8EMfceaDJ0YxRR5HTPZcrSODonoSoCUaKxtgZxllGRRNw4QRYFEnKmdJ3ISjnfc5mu6uR5jqgKzGYWkzBGEiQmUUSWS/QmHrosk2U5+9oVRAH6bsjhKQtLFpmrG9R1laatseUEWJqErojcMl3lsZUhaZriZjlenGKqMp1RyKrjIwkCt0xVWaybOH5MnGZM70ny4UYpVQ0QRO6cr7Pcn2AoMicHHroisdyfcMd8/abHxvVO/K+2V9n7uTjNEIS8CIQouWFu6qhsc3OTD3zgAxw7dox3v/vdfO1rX+Mzn/kM73nPewD41//6X/OhD32ID37wg9x7772srq7yuc99jkqlstvHb/7mb/IDP/AD/OiP/ij33Xcfpmny53/+50jbvuUAn/jEJ7jrrru4//77uf/++3nd617H//yf/3P3fUmS+Iu/+At0Xee+++7jR3/0R/mBH/gBfuM3fuP5Po/XHNMVHVOTqBmFEIarn+bsnYA3Qt1UqahwsG2hyAI1Q2W2bmCqEpoiMXAj4iQjSjJOdxw2RyFelHCwbSPJ0HE8vCBhuq4RZRmmKlM1FY7NV6lbGrYhI+QC57cmfOHEBnM1g+W+S9OQmLJ16nbxHZq2QpJltGyduqVydKbKNy8MmKtqWIbEQt1EyHMmQUy7ajAJE0xRoqop3LFUY6lu4voxfpzQGfocmrKQRDB1haalcHHg0xn7PLE6YnXo8aYDbXRFRpFERn7ETNVAFECXRXJBoGmrPHxuwCCIOL45YuRFrPc9FpomgghvOlhjoW6wf9pioWEQRAlhlqBKIpYqMQ4TNElm03HpTSIa21HOHccjiFLcIGXkRkRpTstWma4YBEnK2S13+1QMjkxbLNVtum5xirLYMKmbKt+80Gdz5JPnAmsjjzyHpl2Mi3ZFQ1ckRmHKoSmbPIevn+9ypjPmTGdMzVDZmgQ8cqHPyfUxo6AQ1NOVwqR821yVmsputgxDkVkdFMrg1bh8vDVMFT9OMFX5umPweqdIJTdOKfNLXkiedW4KIAg5o/CZuW+pMh0nYK5uMl3TWGrYOH7Cua7HNy70eezCgDjLcIKQqqEgCyCLIl6Y0nUCnlgbAoWM27nGkZkqFUNFkyUu9F22vICKrvLWw1Oc2RoTpzkX+x5hlOD5MeMkoWoo+EmKFyasDDxmqhqSKCILIk4QMbu9YW5YOjMVnaPTRUzDXYtVBBGalspK39u+ps/W2Ofi0OXRCwNqqkKyHahrqTJNQyWKM4QMDrVtvDjm6XWHjuNzpjOmaWss1A1qVpENqDuJqKgqM7ZGRVEgz9nftosYwCxn/5TJwI+pmCoNU2G6ZmDrMnM1nTjJCeKMh5f7REnKdN2gXZE52LQwNZnpuoYXJHQcD0kurAROENEdh3ScgJW+x8bIR5METAm+42Bzd73244Q75+uYmsT+pv2cxsv19h3Xsi7sfE6RReZqJtOV8tDoZrgpi8Hv/d7vPev7giDw4Q9/mA9/+MPXbKPrOr/1W7/Fb/3Wb12zTbPZ5A//8A+f9Vr79u3j//7f//usbV7tPJf4gMtRZZGj09XdfnZeu/w0Z+f0xlJlNp3gutdUZZGWDgfaNrkgXdJ/34tIkoxz3THkxSmJQCF0Np2AmqFyy3SdKC1Oo6M0gwzato6pyERJjiTAysBl4IdIosTIH6IqImmckxBhJRJBFrO/bTP0Y8ZBwpSl840LfUxFpONGHJurkMQ557ouUZJxoTdBEDIqhk7FVHnLoWk+98Q6mqyw6fjsb9kM3JgwSlBkgcE4JkoK39Ll3oR9TZOvnu1Rt2XObGUIsoBERpbDcs/DCTNmq4U70vqGS11XSPIciRw3iDFUhbGXoSoihiaRpwLjOCWd5GR5zlLNRldEHj7XZ75mYpsy/UmMJAss1C0u9D3mGzqqIiLkcGS6SpgULlrVocvB3GK2qjFTM5h4CZIk0HECFpsmy/0ilmJzFLDYMqmZKl6UUDNUaoZKzwk56U1oGDIDtzCj60qRPraiiciKQGcUEGcZ6rYiuDNOZqo6cRzjJhClGYoikWQZi00TN0qw96RWipLCzSjOMhRRvGRMXj5OrzUPrnWKVHLzlDK/5IVk79zcWVN25u10pbBeqqLI8mBCTVeJk0JOrPQ9FpsmiiiSiRl9NyLPchRZIowSqrqG44fIAsw3dDYnMYg5WQqjsNhUrvY9BpOQlqVS2V/jqfUxEqCrMk1bRRFFDs/YeEHKvrbB4ZbFE+tjNArZBjmKJHLXYp2xH/PGhSp+DEGc8MTqCEWW8aKYY9MVvCzBDVOiKMdQFdI0IxHBTRJMRSLNcpwwQs6rfPVcj+44oB9AI8sRRIFJmLKvZbI6DIjimLWhh59mpGHExZ6HJgnEeU4QQ5TFmKrNkWmLcRgx9mLObI2ZrZkcnKvSH0eIooAfFGsFeY5Ijh9lJEnGExeHHJqqsOF4tKs6t7SrCIKApch4qkzTUlElAwSI04yqoZLnOesjj4EXkcQ5uqpQ0wo53VAKhX+hbhZ/2zfu3gmXyvO9Y+RqXMtSfPnYerF4IfZg34485zoGJS8/L9QG6HLTXWccQM6ua9HeNit9j61JuCuwb7b/Hc39/OaE9bGLIcs0KxpBlKFIInGaYWoy+9omUZqzNvKoGiqrQ4+FhompyRycsjm16RDlGS1TI0oyNEUgSXOCLGVO0zmzNeZwu0KcZRydqeD4Cae7E2ZtheVRwHRVJYwyTnYcdEVm4HoIuUBFLSwU60Ofr57pYqkSgyAkEyBKU2ZMHUyV1Z6HoUvYisKAmNcvNFgZ+LzB1ui5CVVdYmXgosgyfgJSkEAeUDdlREFgumKQpBmdUUDdUrEUBUnIOdsdo8syVVuhaaiYssjFno8kgtQQsFSFAzMWDVNjpqIz9APumGvw9fM9ojgjilIkAZq2zqPLA+67ZQo/TDk8VSWop4y9mIfP96kbGoMgZBLG1E2VKUvnzOaE7zjYRpaLxbk7DuhPImRBYOjHqDKc2HT4icOHmarqdMYBc1UTclAUEVOVQYCmpWFq8iUbgC0nKFKySiJTlcKScDWBP/AitiYhgpAzVzOvGb9y+Wf2zoOGqdJxgt3Tvbqh4kbJq054l5R8u7OzcbJUmaFfWIl3Tngvn7c783tz2x986MdMVQqXxzvn66w5HqYic6BlEcZwZMqioivkec4XTqyTJBkDH85uTjg0W2O2orMy8LZdYgK+eLJDVZfoTSLcKGGxZmJoEkmSE2cZJ9YdJl7CVEVlpmqw4URUDYVJnLKgyWyMPb7jUIun1h1qpoKuKEyikImfsDHy8YKYuqnR82M0CTaHPrIgYpkKYZzjeBEXhy5JmjNftQjSmHGcEkYRaQ5+BJMw5mRnxFRFx3FjWpbKhW7ArbM1vrkyYLpqsDLwONy2SeOMTMiRJIkgSlgbunhRwjhJqWgSSZIyCRNkAfwoJgPmKgaSDCM/KVxIBYHZmk6UpczWTURyEAWmqzpPrA2RBZGWrSJLEm1bh7yIGTMVma1JSBBkhFnC7VMVxtui/Pm6de64lO3sMZ6tr73ja6+Mf6lcS1+th1ClYvAK5nra9OXciHY78CK6k4A8F3ZjAPZ+bsfcezM+e5dfd7Fh0p0E1BIdWRF2T48VSbzELNidFNYDL0qYqek4fkTNUImzDIScuqoy3zCYBAmOHzPwihPq5aHHUsOk54bM1A1qusjFfh9TEbgw9ImynFObE2pGhGFITNyEqZrGTNXAiyPiROB0Z4ytyRyeMmnoGv08ZLamM9cwyDKQJQGynKEoMtMwidOU2+aqXOx73DpToev4GIqCm8TUdLAsiTBK2RqF3L5Q5cT6GDdM6IwDgjgjS4tnemi6wuktFyuSiPWM+ZqFqYpULR3bkFjtR0z8hLqukSQ5QZzz5PqQI1MWT66NiKOUPC8E/+GZKue3XMIkpV3RUSSBjbGPrUrIEkyCmCTLefRCn1OdMTVdZn3oM1s3+Nb6gO44wI9SDFXCCVJGbkjNVFgf+kxV9V1rT9+JkBQ40q5SM9RnNgFx4S7QcQK8KGUr4JIUdNc66YmTDASua5262qIAxcKkyOKugjHaHjevNuFdUvLtzs7Gabk/KVxbcoH5urEbZNpxAuK0cCndKT4Wpxk1/ZkEF6osstL38IIUx4sxVJn7DrfouSEdxyfNQETiTGdCFMJT6yMmScZM1UARBf72xCZelJJmOVmqcHDK5PhGhBPENCsqKxOPURAR5RmOHzH0YjrjHncu1Rk7IcfaLcZhQpzCcFLECKwMXHRR4nX7GjyxNmJfw6DjiQRRynxF5emNMboq0qrorPU8BKEIbB55AbahMFPXaZpVzvcKl01VEmhbkGQ5NVlClkQsQ+XUpsNtcxW+cXHEPUtNNp2AO+erSKLIdEPDMmSW+27hTuUlJGnOjKkz19AJk5yRFzP2Y8Ik4ch0pYjbswxO+kXBG1EAURJpV1SEXCCIM5IsY+zFzNR0VvseTVunZRcKWpxm1ORCzs7XDNwgpq1oJMkz9Qee9yn6VfYY1+pz7/i6WRm/0+dOBsXnws3uwV4plIrBK5ib1Yp3JlHHCVC2BfPlE7dhqkU2mZzdwb5XK94x9+68d4nSsN22YRap0c47FCf7mUDVuDTQ9MhUFXKHmqnuBrHubPCA3evsbDK9MGHgRoz9mJWhRxKDqAjFxFYV+p7HUtPi3NYERS2CyxaaJltOQMcJ0GWJ5d6Euq3ihQlumHBoyuLgdJW+GyILAst9n7v3N3lifUDPValbCodnqiz3PUa+gqUqaLLI2jDA0mQcP+LAtMXEjxmMUx45P6Btawz8hIatMwoSjEwGGeaqJst9D1ESMFSVuqnSHQfkQJBkrI48ZqoGT1zo4yVFUbNmXUcTBY7W6iiiSBhnPLE+JIxzambMgbbJupORCznrTsBSw+LR830MVSKKEgwFVoYuB5sWQy8qMktUDdI8p22rnFyfsD70cP0ESRa50POKEzggSVOSJEeRBXRFwlJlNBGiLMePEk51HEZuzNObY+IkoWmrmKrMHfP1XR/iHSuPKov4UYomFkHplnFl+si9Y3rHErW5vWm4lrDfGZdulFzV9W1HwdhrMXguvFrNxSUlVyPJCmV+qiY97/G+s3Ha37QZ+tEl68qOAr93ju/4kpuafOmcFsAJE8IwQdNkxn7CyQ2H1ZGPrcpEcUrLVtlyigKPQZgjCwKPro5IkpT1YUAmwlv2G+iqzExFx1JF/DiFvJDBYZIgiAJuFJNnAn0n5NhcjUEUkQNCLiIIOWmWM/RinoiGzNYNvmN/i1Mdh2EYY5gqPT9htq7z109tUXeKg4uTWyNqmoKAQJRkbIx9Xr+vTpRmnOiMmbM1TAvUmkEYpjQNmXEQkaY5Xz83oG6qXBj6tEwVWZYwFAlyqKgyr1+oIcsijhuDJLHUMKhbGlVd5NT6hF6SUNE1NsYBzarK8Q0HW1PxspgwSXGihBm7iLlYHXqoilgEcAsV3rBUxAzs/GY73gR1s5Cpb1hqbiee0Di//VPtJIpYH3rUTLWwKG/XL9hR/q62Z9gZa5fvMXbaXG0t2Du+rifjr+VyOozT5zy+X61JL0rF4DXEXvPttTZcOyf6V/vc1TIS7c0WU9MLi8LAi9gYePRDePBMj9vmGyhywmLDvGRyztVN3DDhdMehXdFZG3qsDFwOtiocnLYvMSuvDDz8KMXxIpI8Z5LEyJGAJCuc2HSo6jIX+h4NU6HjRgRByoXBhJqhkeewMfI4OmUzCos8/3VTJsgygihFV0RGbkLLlFBEgTcsNPDDhDsXasRZRtvWaFU0FAQePN0nTVMMQ8ZSJLwgJY5z1sY+bpTQtjUkCWYrKitDiboh8dQmtCyFxeY0CDmKAn6Ukgswa5vYhkwcp/S9CF0QibIMN0pZ63qoioCpytRshS+c2MALMqIkxZAlshQMTUSTZBpmYdo9PGtxrusyXTE4tTnhDUt1Vp2Au/c3GI4jelHIXMWg60RcGLgokoBgCEhizj0HmjRsjc44YH/TJowdWrZGmuXYuoJAziROGYcxjUxj0/E50DQIkoypqsb+pk2UZHhRwvnuhOlqYeVpV3T2tUy+JRcLyrW4XHBfL67l2U5r9ioYwCVxDNe63rV4tZqLS0quxk4s0HM5fb18Lu1dL642B/fO4R1rAfmV1sLpik4cZzy1PmTiF0kX5mo6YZphKQKTUEQUIZRhoWFQNxQScu7d3+Br53o0LY2NscepzTGWLjPyY1oVm6apMvIi5FRgbRIz8mIsVSXNMo5Om0iCSM1S8cMUL03QFAlZEEiznDjI+fKpDgdaNtNVncdXBugqqKrMk6sOUZaRRDmrvsesbdA0FY7M2TxwsktVk1kd+Lzj1hlUWcRSRc71i8DpTBfIETg6bfK1c33yLGfTCQjCGCcXiNO0yKCUidy5UCsSQ6gSt01LPN0ZMVPTkRDYcHwMtXDLnYQppiLzlVNdDrVMHl8bMGebCIJAnKRsjSNkMSbLctZ6HlNNg/4kYqmV7XoNHF8fEsc5NVPhXHfCdKVI6HHHfB3XDxlFxThomCrdSYAXppzZGlBRZaZq+q4Hwt4DylEQYSjFuNgZJ88W43i5rL/e+NrL1VxOB16ErUvP+rnXIqVi8BpiZxJdrrHvcCPC/XIsVebkhlNUMxTY1fSFPCVOYX/DxNSl3RSTe0+Bdz4rCQJdIWAwiUj2BIvtXSgWmyYrA4+GbTEcx0iiwGLDpGIq7G/bfPV0F0ECQRSYrmg8cXEIooChFK5Hh6ZsOm7M/qZJw1JY7vm4fsyfPXqRpqFhqBJpnlE1ihiDiqbw5ZNbaKrILVMV2lWdU+sOFwZjBn5Cq6IwY+j03Jh9DQMBgSlTI8sz1gYBkpCzv2lxvuuACH6SkQsRDdOgZcjMVDVqhoyqijQMg3M9hzfONkjiIsuEEyQc33CoqBJ5BrORwULDZNMZcMtchVGQ8FfHN2hWNZbqErahcbCVYSgKB9s257bGHJquoMgSh2smp9bHRbCbKPHk5ojNYUCaZbhhymLd5M6lOqYiFxU9myZ+lDJTMwjilLu3T4Xqpka362LXFAZexB2LdbywCFBWtv06B17EyI8KRUKA9nZMiRcm1FRuagO+1+f4ahvz53tacyMb/r1j8NVmLi4puRqWzHYWtBtLNAHPXXneO4d3DoEUWcSNkitkganLtKsGF/sesigx3zQxVJkgzIhSH0UE34Ap2yAXIY1THl4Zcsdcjac2HMJ+hhMlfPbJDW6ZsTnXmTC0iniCIEkRpHw7213OVEUnEwT2Ny0mQUwgpJzrTDi36TJdMzjUtnhqY8xCw+TUlsPaIKDvJkROkQwjDBL21fVCzlsay1uT3fTNb9zXZGsccKRlksYZuiLheCEdH45pIuM4w9BkBm6MgICsiqRBQsvWudCdEKQpfhAjSCK3zlap6wodN+Cx5QmLLYuNUcRK12PghSDlNA2dN+6v89hqkZ711NaYmlpUF27aKnONYk0URLANhYYho2kyle04sb2pP50wLVKkigInNhzeddssUFiCk6z4d6GlcXS6yvH1IVOZSpCk1HVlV37uPaCURZHVgcfd+5o3PE6uxo0c8lyuXOz0GcfxDY/X1wqlYvAa5EaCOG80qt+NEhabJiMvwtLk3fZDP0JXQNeLVKgdp6iTsLffjlPklM6SHIA75uusjYpgsZW+V1SlnIQoisCRqcJ/XRVFvhn3OWDbzNUMTE1GyKGiy0iiyFxDp23pTFs6a47P0ZkKSZYz9mMOtm2eWnNIspTZisojfRc/SNkIAxRFIEkF4mSLw1M2qwOPgRvjxSkyIm85Ms3D5/t4cYoXhFiqSDcPaZoGx9cdJKkoAe9HRb7pmqbSrGZMVzTOpxTp75KM2VrCqKojySItXWGpYXJhUATVeWHCu26b5cTamIfObpHEKU6Wse747GuZIEm89XCL05tj/Chj7EeEScq9+xtMWRqCkHNkqkqcZdQtlaahcXi6wsPne1wYeuQpGFqGJkoossBkkjHXNBEQWBt4XOj6DPyQIEq551ATU5HY17JQZBEvSui5IYqUo0oSdy7VcaMifejWuPDlL+ztPOMfvD3Gnu1UZm+cQJxmu3EJOz7H8OL5cd5IvzuuDTuKT0nJqx1ZLBJP9P3khjf7L8Qcvdx68PTGiDzPsVQZe7uuQZxk1HWF1aEHSNQtjSEhTUPiQi+gJcNUVSPKc77y9BYdtyhiWTEVWqbK+sjnroUWvXFA1ciJs5woyrhrf52Fmsnq0Ge6ppHEOYYuEScZd8zX+YvHVvHDlN4kQpMlvDjhrYdbZLmALkusDT16bogpi/hpkQDi7v0Npqs6ZzoumioVhcYkmK/qaIrAk5tjhHxC1w0YTiKCBPw4w5BFuqMiAFdTJPqTEFnI6TspiizS90ImXoKmC3hxkUr1r57aIEgyem6MCHQmAUmekWVgijJPr4940/4mUZJx14LNxX5I0y7cRsdhzIG2ja0rXOx7vPlQmyjNWHc81gd+IZO33fCXGkV2ovMdl3ZFY+hF2LpM3VSRxcIFbKXvFWlhp6qc7jjIkcgoiFigsODuxpeMA/zt/cPl2emux3PJRPdqdft5MSgVg9cIV9Oor+W6cbWMEddiZyFQpKLPnfaOl5BlsD4M0BQVWRJ3TYm7/QmgygLIAm1bJxdgrm6yPvJww5QkTbk4cJmtmbt+5Ct9D1tTUKUiONoNEx4512McpZAmHJqyWRl6HJyymW+afPNiH0OUqJoKDy/3MRWF3iRmy4kQRGjbKuMgQZNFgihGkXScMOGupTon1iY8tjbgfNfj7052yHOoGRq6LDBXsbjrQJ1zmy6inzOJYzaGAUfnq+SiQNNQqZoyg0mAmIMXJUQphHHhutR1E0Rgyw2KSrJpjhhnPHyujxNEzDctTF0hzXOmbZ2KrjBV0/m/31glzHKSNMPSFebqhbWi54WQCSDAmc6EPMvxlYSzWxOeWh+xNQ6LYmmGxnRFQ1VE6mZMmmac73uMQhkvTEmSDEUU2Oh7NGydmlHUmRi4EVtOiCDl5OSX+nNuKwQ7XO4fPFPVLzE1763QfnnwmJck1JRLg8heLIF+I/2+WoPLSkqux82M/Rdiju7tY+AVwcE7FdV3UhVPb7uiKEpRJ6amqSRZyvG1oqLvRgADN+Bc3ycXBNI0Y+jlDIMERRK4daFO1RS5c77NV852yb2IDQHivHCZiZOcs50x+xo2hiITJ4XL5UJd5/zWmMWmTnfsY+oyJ9fHfN8bFyCHo9MWXhBTq6gk2xn2nlgdsT/M6Ix8ZFliOAm4bbFKlsA4ShFzAVnKIYUsTRlGEGUZs1WDPIVGRWU4jnC9iFUnYKFqkIsiM5bGUx0HXZVQJYEHz24RJDkZOYs1nY4TIgkCOVAxVLb8AMtU+MbFAXcu1FgZhMw3DCxd5kLPZbXno4oKC3WD2bpRpJSWReIkZ2PkgpAjS1KRNTDLqBkq0/XtODHhmd9up07NlptcclA0CRJkSbxEpu8cuLSvEk9wI1zLLeha/VzLohAlGVtOQFny5lJKxeA1wtU2+tdy3YAbXxSu5Z50eNpGl+HojA2iQNvSruhruvJMZpsdV40oyYiTDEEQMBUZTZKZhDGq+IwbkioLmLLM+sijO4xw4pitYcB8y+D05hgnTDi57lCzFOI4Z5zGrAx9Rm7EMA+p6iopUDM1hBwaNQ05FzkyLWFqInctNlFEkdVBgK5I9CYBXTdgoaFz+2yFziRkf8sijFKatkZGTkrGbL1wwXnT/hZdN4IsJ86gn4A6jpAlkTzPGXoRU6bKct8jSjJ6k4i+GyJKeZEnWlMJ04S799UJk5w0h4sDn9OdMQjQnUQsVjVsU8bQRL54osOx2Sp1Q+Vcb0ye52w6EbYr0vdiNkchVU1ipqoxWzVoVzUEQWAURsi5yExVxQkSjs1WEYCn18c83Rlj6zL33zbPbKNwE9MVkYmfMfBCLvTE3XRyi03zkjS3V3NB2Gtq3ht8fHnw2HMJIispKXlhiZKMSZy+JHPsavO5YaocbNuMtmXDXr90BHbr2nhhwkrfZaGmk+Y5qQFPrI14Ym2CJYq8/mCDtaFHlOQoFEUib5mpIkkCh6YqnNxw8KOMRy/0OTRtM13R8aOMtZGHE8bIgsCZrQmrA5cjcxUu9lzqpsaZvsdcReXrZ3s0TRVbUzg2X0MSBaZMla+d76LKEhe7YwZuQt8PC7ejjTEjP2amZpDlOXGSccKd0JmEuFGR9ejItMRiy2AUFNcfhymtFOIs52DbojPyODZVIxVyKobC5jDE8UIOtC3uPdhiuetyvu8hApMwJU5FTmw4HJ2yeeLiiJycU1tjDjVt3DDBSzJObjjISk5FVwrXSQGEHDRZJghTFAUkEfY3bKIsY3/DLtxLjUvldN1UyQVpV2Gobb/ftvRLZPrzrTNwLbega3Gtg86BFxGlGW5y07fwqqZUDF4jXD6Rruc7vTedHAKXlD+/GpdPTFuTOVorMsLIinLVz+9kpSAF8u3Jm2TIkoQg5MR5hq7JGIrIQ+d7xFlK0ygCgZ9YGZJmOStDn/1NA7UpIgvQMBRWhy5pLmBsV3c80LJ57EKPM1tjREEgzCLSOCWMZURJZDJJODRjUVFUJKWQaU9vONQMmbmqQbuisb9pstSySeKcpzcd4jijP4nojmPqpsL+KQsvSLhrvsaGExDlGfMVHUk0qMsw07Tw4pS+G6JIIutpwv6mxWMrQ4IwYxTH6JKAJccIuUDVUnCCpAiUG0V0vBA/SlBlkdtmLZwg4WDL5sHTXVLg7OaYNx5s0jY1zvWKgm0XJz5nuhMUUSbJJN58qMkkLlIBXhz4KKLIQl0nF0SOaRJJlhcuYJqIP0hoWzpPbzrcOlflYLsILD7VcYoUeGFMO9VYGXjEccYojKjqKpYmX+EfDOyami8PPr5a8Ni1TMq7vq7b2YZeimDgMvC45LXI0IvIReklnWOXZ8s72H6mWu5edxGAURDhjVOOr45oGAqNmsab9zf4s4uPcyHKCeOMekUhR+COuRoXBj5VSyFNc/qTCFOTmLJ1Ho8HxYlxnlExNGRRormdSSeIEvqTmDOdIg6uMwo5NlPjq+f6vH6+wqYTsOUE9McRTUtlqWVCLrDhhuiqStcJCNMUJ0jxwpjznTGOpSGLImHicni6womNMVmSMG1reLHLsTmLtqUyCYqsPnM1gwNtg0kYISFyfmuCIhaxdG9canDLfIUnxRERGS1TZ6Xv06qqjIOIzXFElMQ4QUqapqyMfL739lncNGe177LqBMxWdRrAMEg4t+miIJFmhTwXcgFFEvGThJiciqqw5ni71pvadra3vfJalUWmq8olaaR3Cp3t5blamCZBwnJ/wv6mfVOft1R593N7aZgqSRxjlTvhSygfx2uEq2UTgmf3nR54zxSbUqQrLQPPpihMwoR1rzCNyly5iduZ4PNVs4glcAOqetFnXVcYhRHzVZMkcemMA3puwMhNcWsJfpJSNxW+erbHkWkLW1eo6ApemNL3I+7Z32Zl4GIpMg1bZb5hcnrLYaqiIeQCkyhmqmEQxRlrPY84L4pyeWqGqUo8EQ6RENgah8zVdY5MV3j04ghDUZhrGei6xMSP6DgxfjwiilPObrks1S064yJD09PrDt95yxRHpkzaBhyetQhTkdPrDgM/5o6FGqt9l6al4Uopog+mITNdM7jQnbA2cJlvGlRNDV2WGHkRS42iIvFT6w6HpyxObDo0bY1TnTGWJrHcKwrGGZrIMMyZRDk1VeN0z8FWa3zhZIfb5uo8ttpnrmrSMFTesNQgyjIudl1WhhMamobQhLvmahzvOAzdkK+e6fLuO2Z3qw/vntpR1JroT0IqhoLjRwgChQm5CBvZjRVQZRFLLjYciqI8p1Oi3Y3BniD3F5vSlajktUjdVJnE+Us6x66VLW/vmhMlGU+vj+iMfUZuQsNQUGSJ7zjQhjzlqT7I0xmvW6xhaTJVTUISJe6YrzHfMOlPIh5f66PLCmt9lySFvh8xXdHwo6IwWJCkjLyYSZQwCiJEoQiGvmVO58Smw2Jd51zf4037G6wPQtYdj+mqgRsmjPyYnhtxYm2ILivctlCnI3ukecbhtsU4TOlOQg5XC2tInuaYmsyhGZt+1ueuxQYb44jHLwwYBzGWpjAOErwoIUhz2qbGUsNgqqqz1DSRBYlxEDNrqqyOXHS1wlOrDkMvZugniEKOQI4mycxVDKq2xn5TJcsyBm6EpcsYqoSlFLELXpzy9OYYN4yRJYGDTZsDUxZunCDkRdakUx2nSD/rRbtFJBt7Ysj2ppG2VHm3/Y3GEDzbHmO5P8ELU5b7E+6Yr9/wGHOj5FkUGZ3S8HwppWLwGuVGNjx7c8FfrabBs1kULvQ8ohQcL6FmGldcZ2eCrzkebVunZhRp49qVIq1ZW9FZG3l0xgErfZeqLhMmCbKg7WaquXd/g5GfYBsyVV3liYtDojwlyTJqpkLPiZGHIYroULdU9rcskjTDVG1yclaGHlVLRRFh3fG5d3+TiqUwU9U5vjJi4MVoksh//ZtTtKs6SZzyU28/whPRkDMbE+I858h0hUfO9RAkgZWhy7FZm5OdMaIgsjb0i7R5Oaz2A9w4RVUkjk7b3DZboWUpPLXuUDcVDk9NkZCx1vcJkwwnimlGOnUj43zX59C0jSKKKKLALTMVvCBmoWFyZmvCoZaFJAtc7HmoksTayMPSFRZrBj0l5A61hiCI3DpfZW3gIQoCq32f7zw6Q5RmDL2IpzfH7GuapFnG/lalKLjjBZxcHzMIgt3FOkoyRkGhtLlxQk1Xi8Dp7f8f+RF5LqDKAjVle3wAfhiyMoGtScjZns/d+5rXtQw8W3rSZ1MsLv/883E9KgPWSl6LqLLIjKFcv+F1uF7O+t1r7Tl0utwVcbXv8dTGCPLtoOhJRJzkSBIsNCwqhszpLQdTERjFUElT5kyTg22TsZ+y5QbcYldRJJENx2NjEDCJPO5cqBKnE26ZrlLVZdoVnTOdCd1JiKEqaLKAoYpIskizpjLyYg60LM52Jty1UCPLoFlTMHSLvuMTpgqGLNFzQtwkRRYkkqwIUpZEkac3HExdYa6mMlM3aFs66wMPL4bVnkcaQ2ccIosikzAmR6Q7CpnECX6UosgCC3WNcDtd6btmZvmjr53jq2e6JGnOrbM1wiTmzoUaJ9Yn9NwhkiRxcKpKVRNBFEiSnPNdlzDN0RSZ3iTg9pka68ABU6Wuy6R5xko/ZLqic3HoISsiR6YrCBRpw6erRd2hvUUkheyZsbJXTp/qOM+6kd/rgrpT5+DZrLT7m/ZVT/6vR3nAc3OUisFrlBvZ8FyeC/5y96OrWRR2mKvr+AkoEoVycRl7J7gqF/7qcZqxPvRp2xqmJlPbFiy6JjOJUlo1nSDOiLOsSMnZm2BlOWM/xVQyqobMcj/i1MYYXZVYH3kkFIG6U3Wdg60KnYnH1jgkTSFJIMqgosmFz//A5e8vzkMGliZzaMriK6e2sHSJ1YHHUrMIjH7kfI/Vvo+pS8xWDG5bqnFixSHJMs50xiw0dJI049a5CgM/ZHkMmjSmbmjMVRRyAfw4xZRlZusGliahyCK6IGEoETVTZbqqcedijZOdCfM1k7OdCXcu1lFVgYZlMNJFxl7CfK145sdmagzckIeWBwy9kA3HZ1/T4uCMTRik3L5QxdBkxHzEN5eHxEmGJG1xR1ijMwoZByH9icTt8zVObI44NlPj3gNtDEkmTFKEbQvAjkL3xNqQg1M2plaIEDMt/m3b+m4BnKEX0XUDvCBluevQD+HU5piF7d/+Wic+11oYbnSTfvnnS3egkpKXh71zD3jWeXit9MSjMOLslsvmyOOWmSpHZirIisBtjRpxmrExCkmzFFXMUSW4ZbbCLTM1VocubpgTJRlnO2NObo7pT0KWey51Q6Ntatz6uiqnNya4cYKIyLmey9CNOdSWePPBFjMNgzDMONEZISOS5rBv2qKmaZiqiCQIPHBmCy/K6PkR9x2a4s2HG6SnMpTtQmRJBmGaMl3TiOMiJeqhts2Xnt7E0mWcMKMzCegOoL064m1Hp3n9viZPrI6Is4zVgUfdVFloGoDA0I0Y+yl/8fjatmKRIEk5SZqzr2ExUzM53/OwVYXOJGK+liHJRWannTi1jVHhtjVXNzg/8Fio6WQ5VAyFrXHI4pTN2I1o6QpJmuLHCaYiI4kCqwNv1z1ot4jkVbLORUkRhD0OAo5MVa45PrqTgDwXdpOTPFv9GluXb8pScPnYKrkxSsWg5Ia53P3oahaFHeIkw1Zg04mI0iJd2U4tA7j6BB+4ISDStovg1Clb594DbUbb131qdQRSTp7B+e6ExbpJ340YBTGmUphEwzjhSMtmbRIgCALH1wYcm6kjSxKTOCKIsiIQqqLw0Nke01WV2YpG141oWyoPn+2RZuDGMVVN4c2H2/zd05tUTBlFFHngTJeLfZeNYcjd+xukWU5TV2hVNLbGAd+42Kdm6liawonNCaNRwDiAxIvZV6+Q5BlPrzuc2HR4x7EpdFnECxM2Bz5ZDrN1kzcdLLI4Db2Y2arGU2sOUxWViZ/QMnS6kwBBLKLDjq+MOTJnE6c5dy42WBv7DCYBU7JElCTM2CZaQ2G2ZjDyI5oVjWNzVU5tOYRhSpJmiGKOpSostAy8OCHJwPFjDlUr1CyVwSTks0+u89475vCiBCEXuHO+vhtLUDcKJSDezmaxk6Z0Y+TTGfuQCViqjATcMV8lF6UrTnz2nixer7DZ9bj8dKg8LSopeXm4fO5dbx5ercjZ/obN6apDEMasj3wOtmwWGyaOF1M1FNqWwsmOv7tOzFR0JlFCnIAoFe5QbphS0SVObATsa9lUdJmmpaHIIrM1gyRPudB3qWkykiAwXVN5w/4WUxWdP/vGBTaGAbokMVPTyUWB7iTg6HSFnhuSU2y0WxUVSRRYatq8JRdI0oxcFLjQ8+hNAto1fTf4+XOPb3B8Y4QiCdRMlc1RwjiAFcfjkQs93Chj5Mcs9ya0TBVdllioGfQmCWmas+G4JFmOLIqIgsBCxUJTJc71fIZeQpqBoSns12RUWaKuq5zcKioen+uM0VWFlqUw9mPuO9ym5xWpUSVBICXHEkXuvXUGAFOVMTUZL0hYHwXMbVsMbF3fPTjcWwug4xSpVgXyYm9gFbWBrjU+Lo91vF79mpIXn1IxKLlhLg/gudyiAM9s8ExNpqLCwbaJm+SYqnyJO8oVJmUBKrrGOIzYGPnIYqEgmLrMlK1zesuhahSVlU9vjhEF6Lohi3WTpqUyCiI2nABZkhiECRVNoTsKqeoyXhizPEi3c0UnfPcd89w5X2foRqwNAuaqBnVD4+JogoTM6sBlvm5QNxVG/ZiaqdMgI85SXD9h5MWkWcqZzoSZqo4s57z5YJMvnerSsnQGfgxpSk3XIcswRDAUmYEXcLBlc2biMmPrHF91WGgaPLXq0LBUTFXGUEUsWeKRCwMUSWDoFX6akiCS5hkjP6XnRZBkRFlOmsG3Lo5YrJmc7mSYqszrlurkAtwxV6czDmiaOk+sDJmqaExXi/RwSy0TQxbJRYF3LDYZBkX2j61JwMCNdzMPzVR1Vgc+C3WdL5/uYGkKM1WNhq0SOdmuL+les7IiFSdJT237An/H/jZLTZvNk0VsgKzIbDkBQ1/cdUG7/FR/78JweVDis3G1sVWeFpWUvDxcPveu5w64s6mcsjXcKMENEy66IdNVnbVRkX3nW6sDjiZVJElEkkQGbuG+mOcCWQqKWOTxB4F79rcAqOsqXz/X5f7b5hgEEfuaNnmWs+UEpElhNW5bKvJSA5EcS5N5an3I06si57ouyz2fw1MWaQ6r3QlTVYPVoYcTJEiCQMNQkEQQhJyHzvXx/IQ3LNVBFFkf+KR5zvHVEfcdmeJvT24RpSmOH7NQNXC8iFwUkID5qsktM1UeWR7ihjGzVR1ZkrjvaIuTnTGr/YiVoUvbUknTFCdMmKsYKIpE3ZBQRTix6TBf11moGeR5xlRN53xvQhjCxqgobibIEMQZzYrG6c6E2ZrOysAjzwUMVUI3RExFpmaphUIw8NkaBxh7DgV3uCLlp1A8h5pR1LPZm3HwarJ5sXHpHmKHawUMl7z4lIpByQ37YA+9iCjJd4uaXO1zAy/CDRM2vJCaCgfaNrkgXXJS1HEC1kc+60OP2+frRcCxoXIum2BrCoNJRJAmIOTMKSbL/QmyINIZFybJhq3w1IqDFxe1Do5O1YjyDD/KcMMYQ5eoKTrTNYORH7LYMBgnCcdXfebrBsl23vxJlNKqqNiWgtPzIQdNFpivGzy55jBT1dFVCUMV2RyH3LVUx9Yk1kc6uqpS1USe3hxx23SVle2MFUM/4JZpm0wEVRFpWQqnazAWitRvZ3sTbputkmY5B6Zsjq+OqFkaeZbRMBU6o5Dlvkt/EhJlOW1TZaGuY5sqU7bChb5PEKTI0k6eaolZzeDx1SHtqs5gHDAKU956qMXFgU9Vl/nSyU2OTNlsOD5HZ6u8aX+bKMvwwoShH5PDbqaJKVvHayb0nJALfY/9TQNNFlBliUNTGqc2x1R0iUmQXHLS4wYJAy+kZapc6E9I4iKPta3L6LrEQsNEk2Hoxwx6AZMwZqlp7bqgXe1U/3pBiVejdBsqKfn25brzc3tTuWOF7k4COqOA1ZG7vfEW6TgBoijwpgNNBCGnaapsjnxkISMDvDgDhO1sckX6Yy9IWGhaqJLAW49OM/Qinlob0nVioiwhSBWGfoIsiIzDFFHMWBuO2XSCwn2oaTBT1ei5YZHqeRIhiTkNU8GULWxDRkLgC093cIIYVZYIkoSpisFSwyAIE45O23zl9Bb3HmgxyHLefKDJuZ6HiECW5NQtWGqa3DpXozOOqaoiPS/mrn11NsYxIzdmueew0LB2i0+uDX3Odh0OtC0qpsKpjQmHp6pcGIy5ZaYG5HTGIWFcZPlbqJk4YcyUoaLLMqtDn6PTFS4OPBw/pmoqCMDIi+hNQkxdpusGXBy45BkgirRsbTd2q+MUqbxNWdxN+Tm9pzbB3hiva2WTu9b+4/L9xs1QprR+fpRPrOQKP9CrEW1nDkrSZ6ogXu1zDVPFjxMMVbx2bmABBm5Ex/HpOAFRUmzUp6t6kUaurrGvZdPernNgqjKdccDhaZs4L1yB5ho6uizi+AlBnLI1DNkYeURxTh7nBFlC01Sw1CL/aNvUeM/ts1RNBT+KuNB10USpMJMqMlGeMls12T9lcr7vIogCD57p0huHpFnOTNXk0QtDOuOIOE+5a8GmMw5QJZGNccjIDXlyfUic5tiWjCwW9zbyYioSvPlgi5ou88Z9DXJy3n64BeQsNk10CQRR5JsXBzyxOqQ3CYmSDF0WURWZhqVzsGWRZgKLdQNNlQjSjDDJ2Neyma5pGJrC2c6YgZ/QsjScIOFdt86Q5jl3zVfJcmjoKic3HLYmATPVIsg7CFNObTqc705YG/oMt/OGJ+TM1XQevThkbRRwqjPGVGTIoeuE/N2JDo9dHLAx8oEi9iBOcs5sTRhMYsZhxJGZCkdnahxpVwGQgIEbY8gi83UTRRauMB9fTYirosi5rQmqeHVxFSUZm9vjqGGqL1nGopKSkptj7/zcO2+hmMdemNB3IyxF3s2CNlXTaBo6piJRtxUkQWDkJ5zenLA68PjmxSEjP+ZC36cbwdnuBE2WOdAuMuec2Rrz0HKXNMlpb1soNxwfx4/w45h9DQtLk7ltpkaWZ7Qshd4kZOiGxFnOlK1yz74mmQBJkuPHKbap0DRV0kxgpq7zhqUmoyBCVxXSLGcwCUmzoibMQ+d6HJq18eOEo9MVTmw6vP1oG0NXuH2uTruu8ZZDTQwJkjzn4eU+8zUNURZZalmc7bgsd13WRj6mJtNzQ1RZYMMJcIKY6YpNbxzx9KpDlKQc3xjy+n0NsjxDFQVUqfjv1lkbWxfZ3zDQFIlxHNMfB3RGPm6Y0LBUmlZRIXrKNpiEMeRFEbJ9LZuKqTBX0xkF0e7Ge33oszkKcfxrp/y8Xja5a+4/BEjSYt8RJVd3RboWN7KnKbk2pWLwKuRygXu9ts9Wz2CHgRdhKDJBnGIphe+npcqXTPQdYbG/aWOp8q6g6DgBa8NnlACAhqXQtIvCWR0nYOTFrA48jkxVef1ik6WmxZSt03UDuk5I01LpTkIUSWDkxdRNDVmWmK0aOEHElhuSJDnBdq0AXZTIyNl0fPqTmIapgVBsRI+vjVl3fLI8R5GKDD0LDRNVknhqzcHzYvI0xQ1TLFXiOw7UaRoKqizxrYtDgiDlkfMD6qZGnkO7qqBKMrokMnQjarpKw1TobwvucQJVU+E9t88SJTm3zdfYdCOmLJ39TRNDUxh6ESM/YWsSkGUZggDzdYM75iosNQ2Or4+RRLHI+COJdEYBYZwiSSJvPtRiqqLxHQdbvO1Ii/1Nk1vmKphqUYeh60WEScrJ7oT1gc8j53s8dL7LyI1YGbk4Xsz57mT3pM6NEg62bVRRpGXIhFFCVZMZBYXf//rY43xvzIWeS8+NCtcxVWYSFpWnp2saB9oVZFmgoiq4UaEhDiKwdYmKpbDYMItA5WdhR7if2HTQFYk1x7vq+D3VcXDDhIEXPauCUVJS8vKyd37uWJdPdZzdtePiwCdJs0vm+lzNpGGrNE2NqqYwVdOYrWhEWcq5jsfpzREjP8JQZbIMshTmq0aRGEGA1b7HZDszztmOwxef2mSt57M+Kqyy57oTDFlCVyTuOdgiSnPuWqjxxgMt7jlQ5+8dm6Fd00hSgYEX0p1E1EwZWZJQJYnTnQkjN+b+O+aZramIYlFDZ3XokWcwDlKeXh+zWLcRgbuX6iwPfG6brhJlCbdN17h9oYYuwVNrYwZuRJzm3D5TYeiGiCI0dHm70rFELuY8uerQcXx0SWK2pnLnvjqTKOXi0EUTYOTFzFR0+n7ExaGPgMgoSFBEkZWBj2VI9MYhWQarw4CGqRClOTO2ASL0vQhLUzjXnVDXVZaaFm/a3yaIU7wwpbMd+6UoApU9p/mXy2N4RhmcrjxjGd67N7mWslg3VII43XbDvbkN/k6fO3EqN6tY7HyX5/rZVzqlK9GrkJtxp7hWPYPLTXE7Zt3pqs43L/ap6ApzNeOSGIMdQd+dBBxoGM/kBt42D8dpxvG14lS9bRfmRigyVQRJiq0rbDkBXvJMBdw4zXDCFDHM0SSJlX6RbcFPE+6YrzIJE3RVxDZUTFUkjDOGXszFUVHtMsxgHCasjlxqqsIozWnVNFq6Tt2S8eMcVRYIo4wgTvjamS5BltM2VA7NWDy15vC+O+eYb4AoCYiigCKK2LqCH8fcPl/DUmVGQYwfpyw1TE5vuRxoWOyfqnD84oAogzBKeWrdQZNEvnm+z987OkXPjRj5EYdaJkMvQhYFslzgQm+MF0fMVA1mqgaPrQzYGscIQs7r5+s8cnFAVZPJBTjQMqkZKu+5Yw4vTBj5ERvDgPNbLqNJQj8IOLHukCMw3zBwghhdVfjqmR66ItIyNPpByHfMtnerVFpqIRa6QoCqKhyatplrmMRZhiwLTJkGfTcizBMsWcJSZeI04/C0RdvWWWyYbDoBoyAqfGC3LUwNFcI457a5onrm9cboziJy53ydNce7qq/pjlLiRck1fVVLSkq+/dhZU3bizxqmyqG2xWg73gnY3URWDJkkzZFlkcMzNmlauCl++USHOMuRhcIN54IOFVPFT5IiKYIfMVvRcfwR4wD+9kSHqaoBQJ7BMAgRMpiEMU3LIIoT5hoGFV1lui7tVvrtOgFVVSIH6rrM8TWH//cdR/mrpzbY2E6r/d32LDN1E219whOrPW6fqVOzZCRBQpNFdE1AT2SGXsyhlsm5wYQ8zVkZuDQrKoII/XHAwSmLpq1yvuuS5AJKCp0g5Oh0jTzPudjzCNQESRSYb+roqsL5rkuapuQZrDgBi22bgR9jqwpmS2JjGNCyNM5tuUiiyNkNl5al4isZd++vE6Y5B+sKj60NqOoaLVPlzNaEw9P2ruz95oU+siAQJOmu7D4yVeV0x8ELI/oBnO5M0DUFP35GHu9NR3uq42AoxfqyI/f3xqGs9L1dN+O2XQQ3e1FyxaHl9VyFXogA5teyW2qpGLwKuZksLNdqu3eTv7NJ39+0Od1xCKKYJM2ZqxtX9LUj6Id7NPy6obIx9HlqfUgS5+iazFzdKIJUtzPZ3DJTLdxU3IA4yXl6bYSsCNQ0lbmqjKXKfHOlD4KK4xcnKme3JlR1GSGTiDN4/VKT5Z6LGyckCfhRSk2TaFdUNEHibN+lZsgsVGwmYULL0onzjLWezzAsApENVcZE4E2HGpzbctEUiS+e7iEKOaYscmjGJoszpioqll5FFkW+ebEPWc7t81XWnZBbZizWxz6WIjPb1Dl5HjJBQBDg66d7zNZUvr48YKluUrVUVkYh33GgRWcc4EYpq6MxUiKxOnI50xtzsevhJCmHpi2+caHPRt9Hk+Hv3T6LGyVsDH1yESZeAmJOdxLSc4tqnioCIzdhoa0j5QK2pnBqY0iewZsONdFVEcuwUMQic5ShFNUqZ6o6XpQwcGNmqjpBkqIgkqQZCRmaLJImEn0v4oHTHSqGQssqskntuPTEqclctfA5JU9JgQNtkyjLbmiM7l0wGvalwW57MxgBV62uWVJS8u3L3oKJOxWND05dWZm2Owlo2zpzNRPy4iBp5Ec8stwjTHPyHDbGEUenbSSgZSkcnCrWrCjJ8JOU2ZpVuH6KAo8u9zkwZWMoEqaisDbyaVZ0umOPOMsxVQVdLWKvHlru0TBUkjTDMiRuX6jxpRObmJLMn33jAnMNAzdIyYWULzy1SbOi0B8HtG2Djhdyz+E2sijQslTO9z1sQ8b3E051PSRB4PiGgyJKNG0NTQTFVOlNIsSsqG4sSTl1U8PUFbpuyDuPTXFspsLxVQcvSVkbBgTJBBmRhmmgKTKCKHCuM6ZuKoXLUJhzdLbK2c6Yuq4wDBOEDPw05/b5OramMBx6PO4E2KqMIkPFUnjrkSku9Fy8KOHptRGSKBBkWbFWw27iiXZFZyNJ6QXwrZUhU7bB249NXyGPb+gQR4BxGKNLEl0hoG3pHJ0urreToQ64qoJxNZ5PRrrXcja7ciV9hfJsZq6bcae4VtudWAFzOzPAjhCoGSqSJNOwFKYr+hX3UTNUFFHE1GRGUVEBebk/oT+JGAURYZYwXdOoG8+kKZuuFKfM01V9O5OBQJSlrPZ8VkZFDucoy7h7scnMdso3chj6Cd1JxMnNMed6Ex67MCCJc2q6gq4KHJuxkSURVYYky0iznCQtlI92RcOLE8ghyVO2nJD+JODglMnh2QrH5uocma0wVzOIkoSapuDGKV8/2+NrZ7d4etNBkUROb40JoxRBgpWhz1v21/nWmoO5HQcQRxlNE0xFJs0yIOP8wGPK1qlaMos1k//njUscnq3wjmMz5FnOGxZaaIrMLVM1Tm1MGIQRSi7QGXk8uTHCi1NEQaQ/iWjbRSanE2tjHjjTZeQWKU7n6yZ1TWYSp9w2XyHPBI5MWcR5Rpzk6LqMJInctlCnaamc700YeTGOH12y2V5oGsiixNiPeWp9RM+NmK0azDR0lpoGUZrQdUPObU14ev0ZlwAo/Emn94wtq7DsF2MpKJTOq43f65lw957kvBCuQ69lk3FJyfPh+c4dVRZR9iSuuLzPKMnwoiIZQt1Qma7qu0qBG6RkWYalyiw0Db58uocig60pLNRNGmZxiBTECV6YcHjKQlUlLF2i6wRUNIVcyFloGAjAbMNgsWExWy+qzX/z4oBvLvdYH3rIisBczSJJc3RJojMJ+ebKgM1RyHzDwA1TOkOPk+sTpqsGTVPlu2+dww1ivvPoFIdnK/w/b1ziQMtiqWlQN2UeWxkQJglRmiELOXM2VDQJURQ4P/TYGPocatrIYrFmiaLAk6tD3DjliY0Bj14csOWFmIqKrkocmbH47jumaVoqqiRxYn1MlKYcaZmc706wdAVNlZDyHF2XUCSBcRjzrdUhg0lYpKIGaprKwXZRo8aJYjrDkChLMVWJg22b6Yq+G2C8Y11u2ypRDk4Q40QxQy9i0wmYBMml8V+iuGuZvtr4ma7o3DJT3Q5aznfHyF6Zv6Ng+PGVloSrja/nuj7czGdfbWtIaTF4hfJim7n2nuaYqrwbgxCnGTM1jbZdTJi9pjooJogfJySJQJIVFZCrlkajotCoKLRNnamqznJ/gqHIqJK4q5Wv9j1OdRyadtH/+iikoSi7WYmeXBuSphl9L2a+anDAlgnijCTN2BgG9PwQN87oOT6zLYNvXRziBDGCIBSZK4Y+Wkvk1rkq68OAqYrKN5YHiCLossgdCzWWex73LlY42ykqG09XdA5PWTy2OkTMRbaGRUEZ29D4yuktJmGRCSnPc9pVnS+c6vL6pTrnuxNunatgqRbrF+D1S1X+5uktEEXCIOJcd8zB1gxNUyUXioJvn3tyDUtXWHN87llqMIqS7TiLCFUW8KOMqqYiCymLLZ0jLZMNx6dt62yOvCIblBPwliMtKrrKKIg51FZY7vvcNl9DVyXesNRgf8MgQ+DodJWRHxHGKetjH9Epsj51xgH17fLx+5s2p1OHcJii6SK6IlI1FW6t1jix6fD6xSZrI4+BF7HQMHdNyDtpB+Mk23U3k8VCWQiTjG+c79CuaCxzZaGzq43tq9U5eKFOcl7LJuOSkufDCzF3Lq9bsjd7TZGVKCRMUma3LdQdx6euq5hKxmzNQJYETmw47GtbPLEBiw29sEJkGX6Y0ptEjIMUTRF4/WKTmq6hyAKHpyv4ccy5jkfDlNFUhZquoGkirp/QdXwUSeB83+N1Sw0eWxkyX1HZaOqkOZiqxNiLsXQZVSzSSWuigKSJ3LFYw08SLF3h8dUh998xz9CPONi0WRFcHjjbY8vxEQSYthRUVWZKhbxhMlXR2XACDFniqQ0HW1cIg5S+7xHHJstbLk6Q0J34VA0bVRE4Nl3hRMdFVyT2NW3Whx6Qsz4IGHox+1sWXzndQ5EE3CghGPq0bI21DPa1DJI0Lw6ItiYoI5HwXMrBVgVdERm4MW1bxwliTm04xElGbY8cjpKMsZ+w34K56QoHpiogFAdAy/0JNUPdTTm9d9xcrfjk3vSl3Umwm+ikYaq7lqW68e1nJX61rSGlYvAK5aUwc+2e5qTFhk6VxUtSkV3tPi52XfpewExVxUuKCshRKjBXM3dz1m9uKxtelJAkIiubLosNi9WBx8YwYODH3L3Y4PC0hSkXx8zfWhnQH8d860If21SZq+jMVk3O94rKwLIoEqc5KwMPP8748tMdbFUlp/CZF2VIAMePGLgRmiLx+MUR57ouSZbyvXfOE2dFpeaRnyAJcGZjQlVX6E4EmrbKchAUQXC5xkxV4+iMzXLXpWZISIJI34+4ba7KxjCgoqusDwOWex5SDo+vjKhoKuMwRlVkFEHiwsBjEqd8+XSHhYbBWt/joeU+r19sECYJt8xU6bshS3UDQQRblWnaKpVtq8pXl4e8frHKwItp13T6XkQcZ5zaHFPXVAxdQpckjs3JTLwUBJivmSiiyIGWzcbI51x/wsRLkCWBXhDTskKMicTIj6htKwe3z9UxFZnzPZcDLYsDbbuoSK1IDIOINx1s76aui9OixH2cZrvBzFBs7EcRmJrMVt+nbioEccrrmo2rju2dvqIku2adgxeK17LJuKTk+fBCzJ3L/cHjNMOLi0MJq2mz2vdIUoH1UeF3risKkyDlnv0t3DhFEHLeeniK46sDhGaRxW5rEjLwQoLtLEfdcYwfx9x3eJr9UxayJCBLAouWTZJCECcokojjxwyHERMv4chMhePrY+49YPPYyhBNEvjbc0MOtCymKiZjPyLLQZJgoa6TCjlVXUOVC6UhiBO+dGKDN+1v8pePr7A68Jmu6nhRipAJ6KrCJAqxjWKNO+3A0TmBx9aGzFYMtiYBR2cqnOu5KJrIoUoFUxFpWzajKELKBfJcpGmqfGN5iKpKnO+73DJX4bBq8cTqkI1RyFxNpzcOqegKYz8kCDM6Ex9dV5g3ZSqaiirDJEgZhxnrFwYcnakQZxmvX2xiThcHg2e2JoRhSs8NadkaR6eqLDRNupMAQxURRPiuW6fJBYnOOIC8OPAaehHrI484zVFkgbmqed3ik5fvM3b2IjueC99um+9X2xpSKgavUG60aNPzzed7tU3a3ute/resCIBIZxRhykUFZEVRcMOE4+tD2pZOfY+ryvH1IUlaVDK2dQVDE6npCl850+VNB5rEeUYU50i5wLnemKohk+YpFV3mWysDzmxO2N80efutM9tuSRr/uzOmpqmk5LRMhffeOYcbJ/hBSruiIuYU181zbEXANE38JCWIM7550WHG1qlVFMjgqXWHOxdqLG95VE2ZhlFHkGCmZlAzNI7Nyqw5PoYscWDaRMgEtvKArUnCYBwwiRKOb0BUGxKlIhVDRhVk6pZC1SiqUCqSyJOrDluTEEOVGXkxx+YLv8o752s8teGw1vdpN1WyHNoVmZ5TCMen1xz+3rEZmnohvDMhxw9TFusShiaz0QuYpBGWrOI7CV/v9FhqmVQ0hUkYs+UEiIKEqoi0KwqyJDKYRBxs2xxfG1LRFO5abGCqMlMVHUUsNunzVfOKgOBREOEFKYoi7PoE7wjKoReRZOCFhTtaz4051Lavmp967yKwowg8H8F7o4FqJSUlN8f15s7NrD87cxygJqu7G8CjM1W+cWFAnOQosoggQLuisTr0ONCyQShcbRYbBhvA8TUHWZEIgpQ0z7E1hdVhgCjIrI08pmyNbyz32Ve3GZgxEz9hy/W5Y05nnKY4Xsy0rYAo8Y4jbUZhwoGWxVdObjFXM0iSnHZVhjxHFOBM1+etBxuEeYqMgCbJSIrAyQ0HQ5U5ueUy8BNUSeDUhsPB6Qp3LVUZRzGSKLA59gmWY84O4NzxDRqmytoo4I2LdQQEbput0nUigjRmoWZRN1Xu2T/NqfURIjlntsYkaUqSy+SJxLfODWnYCgs1Cz8a03F8js7WkIB3HWvxvx9ZZaZukqYp9x5o0XUDNoYhqwMPRRIwZJlz3QmLDZO+W/x2XznTZcbW8MMETSwOjkZhxEHZ5uh0la2RiybC6sBjGKZUdRVLk7H1ImYtR2B95LOvZVyS6ORa42fv6ztjyFKLvl6szXeUZPT94DntlV5ta0ipGLzK2RtEfHS6+pwGPMDWOCw23tvmv6tNnijJCv/BHOZrGutPQ91UURSF7iRg7Cac7XS5c6GOIoqsjzzmq+ZudcQNJ+T1S02eXncwFYFvXhjwfa9bwI0SLm5NmKvrCLnAQt1kfeLjhhlpmpHkOSMvwo9T1kcBliLxWGfIYsPENlW+caHP/XfMw7EijdvxNYeBF9G0dfZP6SRZjiIKPNl1CcOUldij50qESUrNUOiPI25drCKkAjVDIshybKXw0R86IZtOwGxVQ1FVdFlAFkTCJObuA03+8rFV8hTO9TwOtKu0xEIxmm0Y5FnOd906wxMrDpKUc3jK4tELQ3RVoDuOqFsKXpwy8iJEAU52JrxhX4Oxl7E28sjynANTFbwwo+8GuFHCQlVntmbS9wKWuz4DLyITchQxRhFELENh6MVU9ZC5hsnKMKCmS/S9hLmKztCPsBSFL5zYRJNFuk5IkuUsNkwEIWcURihK8bvvdQHqOAFumCIK0LYLH9Sd8dcwVeqmiiwW42EQpLRs5RLT8s74uRF3oZtVdl9tZt6SklcKNzL39m78oEhWMdz+XJQUySn2tQyEvDA/3jlf55sX++iKhLJj1XaL2jjnHLAcn8EkQZRFWpaKAOybMrEVmaOzVR5dHlA1NNYdH9kN8MOEMM2KuDFFYKai067qbDk+p7ZcKobMYBIzX9d5fG2EqcpoqohtKDx6YUBVl1keeBybrnJx4CJJRT2GVkUlA+6YqzIOYtJU4A0H6kyClCBKODpj88RFB1UQGE5iJjFoaUKaySzVLGSpKK45CiJkGS52ApqWzqwqcqBpEMcxtq5wct0hECWSLOHiJEQTJFRZYKqiY2kyfpiyOQ557+2zDIOQhZrB353rMFsxeGptyLHpKt8aDZmvmkyiiJYpEqY5WZZzbKbKZ59cx1QEel7EvQdbrA09mqbG/obNue6EkRcxX9PY8AqlrG7rKNIzAcYNUyVOMqbsIjnF3kPGZxsPO/J9bzXsvVkQX0iSrMioVDGLe3ytrxPfHg5aJS8ae4OIn3Oxjz3VKJ+tcMjAi1AkkbntwK+aWigWO/EKSZ6hyRLnuxMePLPFV890udBzuWO+Ts1Ui82iVKSj8+KMY7MV1pwi+BihsD7cPltFkUUkRLIsK8ym0xWe3hhzfNXhG8s9zvY8VEUk3/ZksRWJr5/v4ocJx9dGzFU17t7f5NCURdtWma/pPL42xFJkFhoGGTl5nrPSd9kcBigiRFHKuuPR91J0UUQWRYQ850zXwQ1SzmxN6I9jLvRdRn5EbxygKSLffdsMNQvatsaBlslMTSvyRDsBm47Pyc6ESRjhBAlPrI4QJYGL/YBNJ6A7icizjKqlkAlwy0yFcVBUpKyZKnVLZ8bWWXN8NpyQlb5PnOXkAnTHCY+tDUmzDEMuLBUtW6VuytwyXcHSFZI043vvmkeWJG6Ztui7EQdbNkGasVDTUaSiDoEkFgvyXM3kyFT16vmhBVBlgdm6wWLDvMT9p+MEDL0IS2bXHW2uZlI31Ev6eLag4suDz26meE1Z9Kyk5OXhRubeznzem+Ri59Cg4wQAtE0dWRaKgOQs45bZKqYm7boetS2dpqXRMorU242qSt2QsVUJwxBpair37m8yCRLuWKjRMBTmqjqGJqMqEros8dTaiOE4IQf8MOVs12PkhrhhTJKlWLpCfTu5Rt+NEHJ4y4EGItCyVHp+iCJJrPRdLg58TqxN0BWJ05tjvCgjoSgAuekErDsB3VFI1VI4MlehZqlUdLhjusZS3UZAZGXgcnx9TBDChb6HLAg8dK7HQsMkTDKSTOBEx6FqFNbfC1sTpKRY83RFIk5zXr9Up2VrNE2RE+sjkiRjFETYmszFvssTqyMGQcydC3W8JObITAUEEUEU0OWidsyx2QpenHHXUo0kzTg6U2WpZeFGCQ+e3uKrZ7s8cr7PdmIpTE265BBSlUUWmyYHp4qA5p3f/HrjYbfNnv3Hi4WbgKGKNxTQ/FqgtBi8ytnZlN+oG8bVTmP3ZiAY+v8/e/8ZY1l2nvejv53zPvlU7K6O0z09wzAcZgVLDpRsy/o7wPL/CiAgwJA/WJZgSPpiAwZsXAgCHOAPMmAYhq8MWzbke6+vnCRTpG0lUgzicMjJPR2rK58cdo73w65TU93T3dM9nCE5w3qARleds84+59Re613vesPzJG8SQ7s31WepMr1ZyPEGfVUW+djZNpsjD0q4OZiT55AUOQezqtl1QV+aRgWXllz2pxGXTPfoNRSw50Ws1Q22xz66KrHsGKy4Bm1b44WtEU+uuNQNBS/KaFoq6y2TOCvZ9wJu9Twcs3J0//KHT7E59hjNY17YmpCVAoN5QN3SOd00eWVniiyL+FHOYJ6wOQ7Jy4LrBx6uobLRMsnzAl2UuT2fcWXFZWfss1rXee72EEWReGVnxo9d6fJ0A66cb1MiMotS/CgjijIkGYI4R5IEtkcBpiQyTjKWbI3VmsZSTWdz6CMIYCoiNwcesijygTWXrKiyFx1bw9YlvjILsBQJP6nKrBQJlmwVVRG4slxDVkTCNKdr67yyN0EWBGxDwVRllusGm32PplUdwD5yqsHtoccHTznMwoRZlAPVPd8ZBwy9GARoWm9EV+6tCV2MHx+L/C2UsI/XFE/8hNf3ZzxzuvnQLMG9zx3/+aRU6AQn+N7Ew9bevfvGghZ7sa57s4i9WQCFgCIL1Ez1LqpLRRIJ4oxb/Tn9eczpZtWcfLZlIUqVGKeuiFw/8IiLHC/KGAcxu5OQKys1ZFkgygqaaypfvTGg41bBkHNdmztDH0MRmEcFLUujbmoglFxccpj6KZJcce6rsoSpy4RJjp+kNA2Di0s2Vw9myILC9ihAR2B/FrPi6nhhQlKApYh4aY4sViU2TyzZlBP4+MUOd4YhX7s9wE9S1hs2eVbQMlS+2htysevy7798E1EUeP72iLws6TgGfpxRiiVemnG5aTGLMqI8wNRsPnK6wTe2xhxM50winUvLLnkhsObmnF9xWW+YjL2EjqOyOwyxDJVwHuBlKUGcM5jHXDqkKG07+hFlbJoXlAJkeUmWFTgqXFl1WW06960muNdHWNCP3o8R8Xgz+sI3eJD/8u2WS0PFmGepMp2a9T3T0PzdxMnB4PsAj+MY3S/1e9yRgzeLoS1es9AuuD6dYcrikSO4gK3LPLVaZ3sc8OFTLcIko23r3Bn4KIrAlZU6SVYw8CJUWeRc12ZnHLDeNGlaGnVbQQJe2BojlCJBHNPXVBAFnl6t8+Ranat7M/76x85w9WDGq3tTdicRq65BFOfoqkRvGqKIIlf3ZxSUvLo/x4sz0ixHVUVMRcLSVZqWyiu7U8SagCyD4An0vYisKFBkmc2BT9vRiLOCMy2T7WFAt6bz3O0xpqHQm4YYisiNvk9SwI2BR01TEESBtqWy5GqkQENT2JkGrNYNoqzgtK1xednlwkrVdCfLElvDgLIoGPoxrqGRlbDk6IyjCD9OuTHwKIoSSYTRPObF7SmSDI6m4pgS1wc+nzjbZLlmcG1vjhfn7I49PrDWZGccYOsKtiZRlgJRmnNr6NF1dLKioO3oKHKCIovsjAL+12t7FdNQzWIWpZxt2Udp4Yc57/1pfqSEvUDDVHl9f4YkCmyOKnaiB83Te+fw8Z9PSoVOcIL3Hhbr9ngz6fGeo0XWYBZnnHOtqs/JrhiHEKqSoztDjz+6eoCXlMzCGFsB6ZCIYuInnG6ZJHkVEAnTjDujkN40oKYrPHu2RZBkeFFGVpZokogkCexOQigERn6MJkm8tjvBkGVsXSIrCi4sOby4M2Hkp0RJRXt6MI0433WIixxLVvizV5bZGYXcGgSM/ZiGKlG3VQxZRhQrPZflWcitfY9ZlPLNrQlhAFmeI0pVKU8UZ4z9iLqpcbU341TNZDiPcAyF/VlImOVokkDH0Fhydbb6AldO1dAkmVd2J8girNZ1DDVlMI8pKPGjDFGES6sOrqYgyQJjPyErSnamMWmaE+UFdVvD1RWEsurnEA/LuCxFZnPskaYlbUfj0+c63Bp6LNkK45uw1jDfVCIKh4e8acXydGW1/lCbfW8z+ls1G78T9l8WqzLp+33270ecHAze53jQafpBjz9q1PZ4BGChR4BQ9SKESc54HlMWVc3h+aXaXQb/eAbi1f0Jt4ceaw2L3qFarqurZFnBa/sz6oZCkGRomsipplM59rJIXsCSa9DzQ0qh5PfmEZIg0ptHvLw3Za1mcG1/iipLIJY4poQsaYRJRpYV3BzOaFs6cVrQ82LyvETxSw4mMZ+60MZWZVZrFgdeiFAKGLrAhmnhKBJxVlK3VNqOiqVI3Br6ZHnJ7iQ4FIGb8/Rqnb1pCMDNKSjFDFtT+NB6nYvLDm1bY28akWQlhiYjCQJBlqPLMg1L5cmlOnkGrx/MkSWBUhRZqtu4qogkgEjJPMxJ0ohpkDKPC+q6hKKKXN+fcmWtxqmWwesHM3RZ4cs3B3xwrYFtSOieyHLNIkgyVhsGWyOfs+1K9C1MM+ZByq2Bx5MrLquuianKNEyVV/YmaLJEURZAyWAeoksSpia/iXoOuKu3pXtosHuziE5NOioxe+Z0k82R9yZV47fTtPjtpoDficjTCU7wfsc7tU4etG6P7y0rtUoksW5WfQfXpzPStERRBPbHIbeGHnleMQPVNJlUhijJ+NbujBVX584w4ImlGvuzgFXLQBBK6paGpcoEaUYQ53xra8w0TNAlibalsj+JmEYpZ9o2L21P0RSJ3VmIG8uUIsRpjq1LLLkaXlwQJxlLrsE8SGnXNJZdk/WGSZHD3jTCNWUcVUFTZdKkoOYoLNVMznZdkqRguDXl9shjMgHr5oiGo7PkaMiCgKOreFFKTVFwLYVPXmiyPQ6RBJG6oVKWJZ2Gzs2Bh2OoFZtef0Y/iNAkkZmfMg0y6pbK1I8xNIm8KLEVkYEf40cpcVGyVjdYsnVGfowsCWiyQMcxqt6/aUDXNihLqSr3KgrGfgpCyUrd5ONn2kz98E2BnyQ7ZKhLCwZBxNhPqVtv3PPjWYF7g0n3CzQ97jy635x6qzl7sgdUODkYvM9x3Fk7voDezin7+GJdcE0veIqVw+cq9eKStiXz1RAuJulRNPj4dZZcne1RwMhLMRUFU5MI4oydkU/T1JEVgbajMfES8kM9gUyDXQKyvGTVNajZKjIG1w48ShG2Bx6iLFIWJaYscabjIlCiKxLTMCNKcy4s2dwZhAzmCR1Tw9JkWobM1jDg2jTA1RV+7/U+H99osTPx2Z4E2JpC01I51TDwwoyNjokpy2iahK1JSKJEXsyQBHBNmU9daPHS7pSOqVEzFVoGqLbOqmtwqmOy1jAZTBN2JwHTICdMUtaaFnJWsjcJMFWJG705Ez9hEqT4YUa3prNWN8gpWG9YeFGKqUoEWUZRFGR5zpmOC1Qpd0WWeHKtjq5IfOl6j45jcr0/Y6Nlca7t8Hp/xjRKubY/p3Z4T5dqOpv9hDApiNKS230fU5VZqVep+wsdlywtKcWSNCvYGxdc3Z9xoeuwPQpIiwJFfCPlu1DBHgcJTUPCz8BPcia92VENqiqLR5oYD5q3bzU/36lSoZPMwwlO8NZ4p9bJg9bt8Qy0IlcBpM2RRxDlIJYIgkCaF2wPA3rzmAtLNpoq8/GzDf6/r8HL+3MoBYZ+yqm6hB9lWKrCtf05AJosIstCFbjam5DmBa6h8sFTNVy9ymLWDJkwzVlp6uyMYsqiQFOqgFSQZpxpOwilQFTkTL1KJXkUZMxTn/W6yfY44OYgYHcS0DI1WrbG1sjnYByx1NSpayodV+fiskNZCgRxSun7tCyVhqXiBQny4Z5qyhI5JR9cr9N2NBxdw1I9Nkchqgi3B3O2+j6aKjGOIkpBYOpFNGyTWZxRNzVGnk/bNhAFWGtYRGnGaB5za+hhaTIXl2xkUTikmYaarrA/CatSVU1lFiUEhweilVpFGBJEOVf351xaclhyde71oxc6FCMvxjEUujWNtqUfOd3HswKLYNL9fJV3wkF/mDaOrQgPHff9iJODwfscDzoMPOiU/aCFsVhEiwMBQlXjebwudNFk1HV1+lOfUxZYqvKmaPARBGgeNhxvNGy+8OoufpiR5XBh2YESlLoGpUBaFmRlQVnA9FCHYK1loUoiDVvhVt9DUQ+zC4rMnYlHTddwjar+UxYFLFMmzaHlqGRFyfYk4gefaPPF1wqGXoatpRQl2IrM6/0ZSZLT0DQKocpy3BkGjP2EUZhyZaVGWOQcTEtmUYylSwgoOLqMgMDlZRdDkXhy2WawCe3TLrKokCYV+8HN3pzVmkmURICEqUp4YUJeVk3W/+2FbdIkY7Pv42gqdV1FlkXOuBaTIGWlrvPK7pQwzZl4KfuziME84fKKS8PUON2yuD6YsTMJWXENJlFWMRlRUex5QYoiSwhiyZKj45oKL+5MkQFVEVg3qqxOkGTcGfoEUYaiVBuqa2gIAgzmCRstla/cHLBSM1CUSq9iYcgXvS2WKrMz9okzmIUpLdc4ml8PMtiLLNSj9hG8E3i/cVGf4ATvBt6tdbJY46ooVkEFRT4KPpUFbI8rogpTlxl4EV6WkmQFlqqw0jDZGgZEORh5QU3XyIEkLwmzhNNNm1kUIwkC+7MAQ5f5o2s9TjVtDEWuGozzggtdl9WayVduDkjynFsHAWGaE2Y625MQVRI502kSpQXLrs71YRVY6XsRe2OfQoTPv7LPSs2gKMHVZEqhZMXVOZiHqKpU0XOPfHZmAUIpUJQFn36iw5fnPX78Q8tM/KqnK01ypMNAl6yKvLY7o1s3idOMzVHA7b6HpkpogkjD0YjiHFuR6PkxNUuh7ei4msI8qgTKaqaCIkmM/bg61GQFjqZQtzU2+z4NW2PiJ3RdnTAtOd02UGQBR1SYRQnboxAvlIiygmfWm2yOPZRceGBT8EIQtaapKIp4pGP0sLl0r6+yEEZ7mN1/FGf+fnP26ACa5g8d9/2Ik4PB+xzHozLH03cPcrIedmDw44xZlNC2dLrHGGMWDDSL66mySNfVsQ+bkUpBZHscHNGdLl5XN1QGXkRNV9kceeiyyH6S0sUgOOw/SIuC4SymZqhsNGzCtBLjqhkypiZhyjK2JnGuY5OVJet1g+c3J9zqRRiqzKVlt9JGMBQMVWbsxcSyAILAD19cIsmKinY0jGjoCme7Dn6aE/gpNacyrpeXbbJcIExzpmFOmpXYqsTBPGZvFiKWJYN5giCKqGKMfsiW8UMXumxPI0YBzPshshghShKjecTyIe3a5RWbmwc+kizQsDXarsZgnjCapbyyN2KpbmDrMoYhEcQpf3xrzp+7ssatQcXgIQkCaVFU4jZDnx99chlBhDtDn5d2ZqRJjqaKCIAkCHzz9hhHV9AViWAecV6z6c9j0rKgY6sMvJin1uukWUGY5twczGloOoosQFw1S48Cj7Mtmx+62OWl3Qnn60a1AejqXVR0x6NCfS8myKBtqxiHpUn3m29JVnCtN8NQZCxNvi8r0bsVyTlpUj7BCd4a79Y6WazxgRdhKDLTw71mo2nz/J0RSzWDtCyO9o2zTYemmZLnObdHczQB/AQsSUTXRc53HF7embLRNOnNI2ZhwctbE1RF4Vu3JyiKwGAWstq0UVWZ1/c9QKRpq1xadvn9qz3yvMSURVRZIM8rgcxbA4+zLYffu9FDKqF2qO8iKzIDLyRKUpKs5Illl7qpoIoie35EXdcwujKmKldlUQcBUZaz7BocTEOKEjaHAXEi4IUpRVkSBimzKGMaVg77KExp2ZXGjqqILFk6F9cchtOIvUlEfx7TslWmQU6Z53xw3WUcpoz9lNWGwSRI2ZlEXN+fcbZt8/T5VtVToMtMgoyNjs160+CplTpXD2a0HRNTkUmLap8chRGSJPDS7oSnV+sVa6ChUtUSV/b7YB7AYTBt0Sh+P9wv2HPcV+nNIgZ+hKurdz13Lx7FmV/M2SQrjkqXFq+zdelN477fcXIw+D7C/dJ398sK3K8fIc0LRvOYQnjjWgsseIbTrDjSObg3PTfwIspSQDm28PwkI81Kbg3mrDcsTrdtLi/Xj7ip06xgEqYATIIURRT5kUvLR4JriiyyNfDxkoK6qXJhyeWl7QlhljHwYpoOjMMUXdXpuDpxmpMA0yCjZWv0/YgoLrjem5PkBbau0XEUJB+2hx6qJhLHOWFa8ORynYal8lvfuMPlVZe4yNke+bimjCbKeHHO9thDEmUmvZgPrDX45vYIS5PZ8WGlljFLS0qh5GzLRhBgpaYhSRK6lrA18NFkkU+d77D0hM7/87+9iKaICCVcWnUxVYkX9uakec7Xbg54aqWGIMKKY/H0msPzd6ZcWHLYHYfYuszBNMQPMyhLLq440ICrB/OKri7M2JuGWJrCi1szznVLJLlSpj7VsqCA/SDkG3dGZHlJZ0Vno2GzOfYq8TFFYBKmKJLI2Y5NmhYohrjYG96UkWqYKqGt4ajQcXRKQeJab8ZGsxI4u7eReKGKfXxTeStdg0VD4v2iUg/CST3pCU7wzuBx15IXZUe9RYv+s8Ua32jad5WoAuiqiFAIrLommyMPQ5ZJtQKjkJAFmXmcIZQFWQljL6Yo4GzT4en1GmMvZXcacf1gzjBKEMOUjqXiKAqnWiYf2WjwuZd2kQSJiR+jCCJ3woAPrLl4UULNVDjXtpj6GTeHcxqaypeu9dgdhSiSRLdhkmsya3WNuMhIkxxFgI+frVTd//D1fbJUALHkyaU6ilz1KazXTcZhzO3+HFORGUXw0taMKMlJCoiyqt8rzDJqloosCTiGRG+acK5rUwJX1mq4hsR4lpCVJTkFFAJ5URCkOX0/JcoyZEkkykqWHI3fu9qDUqDvJ3xEV1nWZKZhwpmOxZPLddaaJr1ZRJYX3O77XFxyWKmZtC2dNCvYngY0LJWXdiesNUz8JEMzKud6EiT0/QxBKFEk8aH+xXG/4V59gsUcSrKSWZjQdfQHshjdz+l/1OzCkquTpukjzPDvL5zsht9nuF+ZxgIP4odf/F4KJfMoq15/HAJkecHAj46c9smxazRMlbat07G1o8bl7VFAkGRAiXtIR7ZSMznTsTnbsVk/ZDfI8oLePGR3ErA3DY4EbyhhbxKyPwmZRwkNS+V6b06WZXQdnU5N5/Kyy7m2SZGX7E184ihDEwUsXUaTRII451p/xjzIQQRZgCAt6c1iJFHi6sGM13ozXrwzYWdSpZQvr9TZn0Tc7oWEaYEsSnz8YouzXZu6aTAKI0xVYujHfOJskyhOMRSwNQVblamZOqoi8uHTzUpsLIy5ujdlfxoy91PGQUKSF3x4o0nT1Hn2TItLyy6SAOc6Fq6lcmXVIS1KsgJ2JwFlKfHBUw3mcYYfpYz9hK1JwM7Yx4sztoZVX4YIFIfsG21TQxHgiSWLVVfjzjBE4JACMMuYRRl5XlKWBWfaNklR0LZ1lutGpUGgK+zNAvbGIdPoDb7pBa3c8bmkyiJrDZOWXhnxzZHHNEh5/s7oDR2EY3PFVOWjHoQkK9geB+yMgjfPu2Pzs+/FDLzoofzY93vd4+ghnOAEJ7g/HnctbY48gjivqKgPkWQFe9OA/jxio2ljqjKWKvP8nRFpVmLoEklRYKpy1dSalURJRpTndF2NC0s2igRZUUIJYZpBIfDa/oxLXYvTTY0lU0NTJAxNJcxLTE3mD17vQQFekvLy7pRJkLBc0/n65oiVRkVQsTevAg+mLpMWJVdWHVxL5VzHQhLgQtfh2bNNPrRap2ZpXFh2idKCsZcSxXB76LPZ99mbhVi6wofWG1xYttAkAUORkGQBVQRbk1ip67QslSzPCbKMjJJlx+CHL7QpcyhKuLozpeWojLyY1/bnXN2fV43YBVV2V4C0KPjGrSGGojDyIyhytqchf+pyh6ZZ6fdsTwImUcwwSEizKrLTm0fc7nvcGMyJ4hxFFllvVDoEZzo2Tyy5ZHnBUk1nNI/ZmwZ4cUVBWDdVOrZG29Yf6F/0ZtFRcPJh+gRpXjCPMmpGpYL9VvPrUebgog9ykdk+wf1xkjF4j+NhkZr7PbdYNPdSjsL9yzqOcw+3HR2ImUbJXcqFXUdnGlaR3oVzeG967nj0d1FaIgglNV3lYB6RagU+FYvNqmuyOfYwZRlFEqhbGvvTkBLhKJI0jRPGfkLPT5AFgT+8eoAiy9R1BQSRD63V2ZlWaci+F5PlOYIAiixzeaniWe5NIwbzGEkSaOoaoigyDzNWGlVkxJRNpnFWcUQXJUVe0p+FtCwFWYBRKHB5xeWDa03ytOT6/pymphJkBZeXamS5gK0r5AVIsshG3SSIU9qOwe4shAmM/EoXIkxytJp0KJSW0LFVfvBil6ws2R2HdB2NICl59nSLhqMTRTlekDGchYjAcsNgHmVYasaao2IqMn5S4MU+57oWsiJgGhJmVG22oiiQ5yWqKnNz4GGpMt+4M+EHLrSZhgmWInGmaVECQy+usjiieFQKdjCLIKjURhuO8qYysUUquOIZ9xDK/EjXYqNp87w3YqmmH0VuHhT1780irh7MyfOchqUxDRMudt2jubzISCx6Xx7Gj30vTupJT3CCdwaPupYWe8qqa7I7q1jcFo9tDXxe781QJIGPbrRRFJHrvRkNS2XsJ9R1lVd2qij1M6ebvLo3wU9S1iyblbpJEMfkJZyq62iyiiTB85sj0rzg+c0xdUejW8tZkapo9Zm2RZCUXGhbPLc5YW/sc77tIEmwPQ4oS9gdh0iCxCtbM2QZOraBo8vousSzp1v0vZiWqTHyYlqOQt3U+PBpBYmSV/dmBIeBoSzPKUWB0TwiSm28LMNPMyRRolPT8aIMU4FZlPPUmkMhFMyChP1pRMfWOdOy+MEnlimA//XKPmeXbQ6mEReXHOajlDBOcQ2FJCtwVR3ZqYJTiiRyszfnXMfllf0JqizhaAoXVlwGfszNA4/r+3POdSz6XlW6o8hiVSKkq+iaSBBl/MmtQUVdLYokeUFaVOrOpVCSZnBnGAALMTPtoXNkoYGgyFUw8EFZ4IqhUD7qMbiXEfFxGBUXUBfVCA8pSz1hMDo5GLzn8bDa6/s997DFc2993eL1Cx7hJCsIkjdUlBumSm8eQclRE/LiEPEwNEyVIMqYxgnTKKnq3bMMpawUhX/v6j5RmlPXVVZblYDZSt2AAhAhTSsP8/ZgTk2V2ZlGzKOMMEvQOhYf2Wjy0s6Uy0s2Qz9BEgoQJYoyYzCPuAF84nybW4M5V/fmOJqMJEqc75jomsI0SHn2TJObA58VUWClafLq/pzerNos4iynYxs8c7pRHYaomsnyAkRJ5CNrLpYhYhsSrq5SAk1TYcnVaDkuQZRxYzCnbuoIgoBjyDy1Xqc/D7m6O2XgRXz6fIesLKEUuT3wWKsZXF52GIYp52WbfhKBIDDPCrbHIe2GzrJtUDMklmyd/WmAa8hkmURvHvPnrqzStDR0WarYgwSRWZQRJikrNZ2DeczTXZvtcUCY5ARJii7L7I4D+n7M9tjnoxvtoyj+Qm1UkcSjeuD6sfmw4ITuezEjP6GmvaFrYesynzjXflPT2eKweDzrEMQZ2WH/ApT4cX7UkHZ8bq83zbv6E+CtZe1P6klPcIJ3Bo+6lha9aoM0O8oKHswi/LgSH8szyIuCa/0ZDVOjBBQZPnGuzVdvDgiSnNt9nyDNyLKSJdciTnPqhsrt/pStGcx3Kors8TyrHNsETFtl5EU4loYslrTdOo4m8aeeWOabWyM0VaRp6gyCBEOWsA2ZOMtpmRrf3BozDjOEosBUFOZJSsPWmEUpq47K1d4cU1F4YXeCJkhVliEr+T+v7tOxVVYaBs9stLgz9LANBVUSuDUIUUSBSys2oyBDleD3drcRxSozv+6a3LA8VuoGQZSTHO55rqHy1Hqd232fSZDxwtaEZUfn/IrLnaHPWs2kZWuUpcY4jDiYxZxfrvHa/hhJlJCpssYtU2V35BMkOZYq0fdSZEVi4ifULZWnV+vVPi7A9YM5dyY+LVPjo2dbVSYGqgyDCIoocLppcPsh9/24E72YB8d/XvgNCyd7HCTUjErQbhEoWsyvB5VCP+ocfKsDxKP2s72fGYwe65jzq7/6q3zsYx/DcRy63S5/+S//Za5evXrXmJ/5mZ9BEIS7/n3yk5+8a0wcx/z8z/887XYby7L4yZ/8Sba3t+8aMx6P+exnP0utVqNWq/HZz36WyWRy15g7d+7wl/7SX8KyLNrtNr/wC79Aknx/lQU0zAerAt7vucXieZQT7r2vX6goL1K813oz9iYhe5OQzZFHw3wj5defRwwj2BkHb0rZqbKIqcu0bb2KQkgCpiqjiCI744C6riAIEKQphlJFDBYO+CRImUYJr27PuD302Z6EPLNRp+PotCyFFdeAUuDp9RrdmsFawyAvBVRZYB7l9KYhozBhZxIw9GNMpZJ9b9gqszijaSh0HI2Rn3C6Y9FyNbq2SlYUzIOMq/tTyhLONA10RUJXRP7Tn9zi1d0pW2MfURJRhIrSzY8y9icBLb0ShqkZCg1Dx0tz/OhQ6wG4vFrj4pLNhSWHgR8zTzJe3Jnw9LLL0I+Zhim6KpEhcGnZ4fk7YwxJpmNrlJTVwUNTONO1WGmYbA588rJk2dGxDImmrfLF6z1kUYASzEMKwItdhxXHpGFptB0VEKta3hKiw3KvjJKxFzP0Y3bGAS/vTrg98OjPq2jUlZU62WF6f3PkMfAi9iYh13qzSknS1jhVrxRJNZGjOlDgrnnYOJaCXsytiV/dp4WC9UrdRJWFo4jTveVwi/6EE1n7dwYn9v4E7zQapkqYvhFcAg5ZywJWGiZLdQ1dEVAQ8aKUjqWx0bTpzSKatooiiuRFzs4oZB4nZEWBJku8tjfl+oHPIKr6F7KioO+H1DUZQ5NYd3U2mhY1TWbNNSiLgrNtm5d2J3hRhiKKlIJA01KYRxmGKvPBUw0atopjqoRxgqZKlR3OSl4/mPH0eo0MgSe7LrdHHtN5AhQYqsTXbg8oypL9ecS5js3FJZtnzzZp2Sp/8Po+UZYxDiI6rsG5tk2Q5LgSxFmJLooMw5glRz9kVcq5PQz4f/3RNfK8YKNus+wabE88Rn5ECTiqzFLdxNAUznYs9qcRSQ6IJa/uTdBliaFX6epstEx6XsSHNhqstQyWazq6JLA19Hllb848qvZdU5MxZJkgTdFEmSjP2J+GmKpcBYUUgbats1I3sbX7x5i9KOPl3clRKeiitHThnC9KjzdHHn6cca03I8mKN5WU3juHHqaE/FZ4Kx/oUa//7X6O72U81sHgD/7gD/i5n/s5vvKVr/CFL3yBLMv4zGc+g+/7d4378R//cfb29o7+/c7v/M5dz//dv/t3+a3f+i1+8zd/ky9+8Yt4nsdP/MRPkOdv0Eb99E//NN/85jf53Oc+x+c+9zm++c1v8tnPfvbo+TzP+Yt/8S/i+z5f/OIX+c3f/E3+83/+z/zSL/3S2/k7vGfxsEn+OIeAR7324jH/MHOgyAKKItyVRVCkavw8gYGX3LfmbzFurV45fEGScW1/zsCLEEQBSRSoaQo7k8qg+HHGtf6M3VHAxE8YhwmaJGLoEkuuyZPrNT51vkvDVLk9mhPGOW1b51TL5nTLpOWorNR0JFnETxIsTeaJroNjyKw4BnuTiKZVnfrzsmTmp1zbmxGnlXKbLMG+F9KydHRZQlYk6obG//jWLncGAbcHFR80RcHeJGAwi/n65hgvzZnEVbLDT3L+ZHNIEBUgCuxNqvr8MMnpuDpRlvPMegtXV2lbOoIo0XV16obCLExxdImv3xwRZTlenB2pG7dtFVkSD0V+VEqhZOZn6KrIh9frTIOqFOobdyaEacG3dqa8tj/DizIsQ2VrGLA3ifnKzR6uVmVpmqaGros0LZVnzzQ43XC4NfL41taYq7szRn4VLVHlirI2SDI6i79fXkX2J0HCetOkZqm0bJW4qJrT7lcHuqC6XT9sZlvUEa81TUxNouvodB294tA+nI/3lsM9bDM5wePjxN6f4J3G8eDSwqHyk4z1pokgwMVll7MdF0Q407Ex9SqS3Pdi0rygW9OwdIVZmOAaGkuOzubI46s3B8RpTsuAU02Djq1yvuXwws6E3izm9YMZWV4yDlJ+//U+flJwc+ARJjl9L8LUZFbqOqai4GcZNa0qx4zSnME0wFEV1hqV8Fial0yilOsHM55ccXm1N8eSZRxTYaNrM/VTHFXBUET+wtOrRFnOat3k4pLLiztTgrjkVs/D1TVuDXye3xpRUrITgUBZ0VAnBTcGPnGcoyki2yOP3UnM776yB0DNUmgaWmVHherwkKY53mH5kS5LlJToosSPPdllGqY4mspq3cBQZD51rsXOOOSjp5o8seLQdassx8SPmPoJ1/ozygJeP5hR0xRyCgxJ5OXdKfvj6u91ZaV+1328Hxa9JNM4ucuJXkTbj9OeHz8wvpt+zVvhUa//bn+O7yYeq5Toc5/73F2///qv/zrdbpfnnnuOH/7hHz56XNM0lpeX73uN6XTKv/k3/4Z//+//PX/2z/5ZAH7jN36DU6dO8b/+1//ix37sx3j11Vf53Oc+x1e+8hU+8YlPAPCv//W/5lOf+hRXr17l0qVLfP7zn+eVV15ha2uL1dVVAP7ZP/tn/MzP/Ay/8iu/guu6j/PVTvCYWCzwtUPxq8XJH6pIsK8IOCrUDPmuRp/jdeTH6VPbts7uKCCKC64Fc3RZ4k4Y8MHTDRRZrJQpZYnN4Ywyh5alkBUlH1hvkJYFa3WTnUlAlhWoosTBNEJEIEwzzrRtVEnk33/5JpIgIiCwOfBZcnVMTSLPyyrCn8TMM5FpkOAlGQdeiKvK+LFGmFRp6yBJSYuq0fpWPyDJ4eruhI22TVmWxGnOMEz5w+sHfPpsi1ujBFGEgRezPQkQBIm6ISMDay2b3YmHpUl89caQMMtp1BR+QGsTFzmTKOFsy+D2wOOcqXF1f46XJIipQE2XsdVKGC7Mcq7uTwkzhygtsGSZOMtYq5sookTdklEliY+ccvjG5hBVEImTnN2Zz4dqTVbrOlevzjjdttkdh1xccUjdAlkSadoKKzWTwTziwA84GMac69iAcjQX/KRqEOv7EW1bZ0CVEUjzKjugiiJbXkKcVc58308erG1xbG49c7p5V3p5MbfuTUsvcFIa9M7ixN6f4N3Avev03r1kkZFerP0kK4jjnFEY4agKUVbQslV0VSRIM2ZhyngeUzMVzjrw8XNtbF1lfx7ScU02hz5dRyfKC4Z+ZY+mQcIPP9EhSgqGQYStylDA3jwiSgpuj3wUAb65XQmgCbJIUcKllRrf3JoQJBm6LPLF631UWeSOH3G6ZbFk60z8Obap8ImzLcI8pyzgpb0JpiRjKhIjP+Vi18aLUzYHEboqszsM0ATw4pRLKy79acjWYE4pgFSKnGpb3BrMaDsGL+6OKanos881bSZBiojA3iSgY+v0pzHDIKauqSzVDbZnMYosM/IjNFnGUERe2p3RtDRuj33+9JPLpPmYxkymLGBzFPCRjSbjIGG5rvPqzhRRELkzDqkbGvP4zZTnYy9mywMvzmgoyn17SRbsU8cJUI73pS10b96PEfj3Gr6to850OgWg2Wze9fjv//7v0+12eeKJJ/jZn/1Zer3e0XPPPfccaZrymc985uix1dVVnn76af74j/8YgC9/+cvUarWjTQLgk5/8JLVa7a4xTz/99NEmAfBjP/ZjxHHMc8899+18rfc1FqUcj9ORf+9r7m26WTT0AHdFgmWxYkZ4fX/Kzii4iz2mN4u41pvhxxn9WcTAi3A0BVkSKIDePORc26ko0vICU6lKjapDRKXs+8lzLQbzCEUSCZMMR5exdQVDlahZCpsTj61RwJeu9/ntF3cZ+wm7I584KQjzjKEfk2QFhi5xcdniQqeGKghcaFnIssCV5TrLdROkkisrDhe6FqcbBuMo47nbU9IkZxLEbLRs4rzgQtfG0uWKJhTYn8UsOQbzGK7uzRj7CYN5yGbfw9IVpkHMetPmzjDg2sGMGwcecikgySJtS2cSpLy0N6sEZ+KMvCw41TRZa5pcXHZZq+usuQZxXDCLMq7uTbi57/O1OwNMVSVICsqyhEIgzDOysuRMy6brGpSUrDn64RiBtaZJkmTYhkSSFnhRxtm2xUqtojFtOzpLts7pjs1y08DV5aMmdEut6O5W3UoR80LHZaVWbfK7h2VmJSVBBnuT6Ihl4kFYOA4LKtMH0dO9HyM138s4sfcneDdwfD3fb+37SUaQpUyClL15SMNSONN2ADAVGdtQaLgaGy2TdRsuLtlEWY5+SJjQtDRUSUAWBTquRloWnO9YmIpMkGVQCsRJia5WQaLr/Tm3enO+eL2PIgpkRaVov9E08eKMD5+u07JUHFlh2VE5mAR0HR0EgRd3xkiCSNNUKATIc3hpZ8ZrO1Ne781BEGiaCooikhcFB/OEV/cnzKKYgxBkQaIsq+CJpSr4ccZawyTOC862HPKiZGsYcKM3pW1rNGydi0sWtiFzZbWGpol0ahrPnG5U/W0i9Gcxm4MpfS/mD64dsDkMmEcZUZLx9JqLF2aUlJxu2TRdlaaloYjVfVAkkVNNi5EfoSuVGnRWFPQP+0IWpT93hlWQ7M6wKh1+ZW/CnYHPJEjepGz/IAKUe/sIjvsbj+uzvBXejWu+n/C2m4/LsuQXf/EX+cEf/EGefvrpo8f//J//8/z1v/7X2djY4NatW/yDf/AP+NN/+k/z3HPPoWka+/v7qKpKo9G463pLS0vs7+8DsL+/T7fbfdN7drvdu8YsLS3d9Xyj0UBV1aMx9yKOY+I4Pvp9NpsBkKbpO8Zlu7jO9yo3bn8WkeQFWZrSfcToan8W4Sc5+2OfC12bSZDc9bsqi9iKwORQMj1NUwazSun2G7dHFCUYsliJaU0D1po6WZaiCCWjeVgJmXgRtiajSqCLIqat4ugSqliyNQqZRSmOLnO2VTmf57s237wzoSwyXtgccqZt45oy4zgly3I6rkYUSfhBii5L3DiYcTAL6Roaqgy6KLA5nDOcJ5xqaVzoWgRJwTSSuHEw59Kqw2ASgZAznqfsDgM+eKrB9YOCG8M5dU2j09Jp1lR2RyENVWV3UrEHDeYJuiJwumNyMPIZR5DHFdOQn+YIksT13owrqy77k5CZlxBkBaZW1dquNQz2JwGrDR1LERl4CU1Dpm1rbA8DTrdM9kc+G22TKEkRxZw8h3bNYG/sEaQZ1/fm/JmnuvhpwtbA42zX5g9e3aPlqAiUrNR1rvXmXOiWOLpCx1IwZAmhLNkczCnLkpe3x/zAxTb9qY+lyVxZrjbjmqlyo+cRRDm7ozmKJKIIcGc4r+aDVCIoAluDkCDNUUQBSxXICxDKlCyVaeiPxh+dZBX1bf3bYH54J67xTuK7aSPe7nu+F+09fGds/nF8r9v/t8I7/fkfd+3db7ytCLQslau7UxqGTJblQE6aZnhpTkOT2Ki7NC2Zg9fhYBYQxVUgJM1zzjQ0vCRnHibMgpiVus4sTLm6O+bAixmHMboo4yUyL+9MsfVKhHKjZbI9CvjYRo3ePKHrqLRMic2BjyyU7M582rbGWsNgaxQgywKWKtGbVf0SUZqzO/aRhJLtYYAuhbi2yumWhViW7E0CvCjB0AQO5hFJAfM4YhqGnG2Z3Ol5PLHkkucFZ1oGu+OIK6s2+5OYrBSI0pyVhsqdUYQuC6R5zrKrUjMUdEXkTEfn9iAAXUUWRbx5SMeS2Z54XO7apIWAQMn1gylhmmHrCk+vNg/laApu9+e4uoJQljRNmcE8xtQVojjl1d0xsiSy1jDoT306tkSYVfZ9dzTH8xO2xgH9mcKFJecuf+NeX+Hee5/mBSUcvWZ3HND3YkJbY+0hgmmPg+N+UONQg+G9uGYfZb2+ne/1tg8Gf+fv/B1eeOEFvvjFL971+N/4G3/j6Oenn36aj370o2xsbPDbv/3b/NW/+lcfeL2yLBGENwhtj//87Yw5jl/91V/lH/2jf/Smxz//+c9jmu/MhFvgC1/4wjt6vbeLrAA/A0uuIvj3/v6g8ZoIcVGNA9gLqse+JVePLX5/Tqyusxi3uDZUrx++/gqzBOIteK6AJIfXJVgxq7FxBts+eAmIArQMkABVghsHsCnCrRn0I1jVQZKhocILBXgRXJ+Do8CeDpIIWzMYJODI8FSzeuy1Gcwj8APYkaCcwngbJhH0Y9jdhv1bN7nowutTSAu4NgVTgY5efde2AXu3YRbDLIFABGkKlgJjH65G1fiiAEkAJLgZH3BnTsVkNPeJJR+lhK0A2jq8ND5AAw4iSAoYcvg+29X/d3qwH0IKuD7cuga3D79v1wRHhbyEKIMsgxcisBXYD8CQ4H9+qUfTqD7vl16CZQuaanXtSVy9/lu7oEsVlXSQw8Hh3/GOV323V16ormnK1eMANRWmSdVD4qjV79te9R1+X6y+25YPjgTzHFpaNRckEf73H34V5fD+v5WfkBVvzDNNrt7n7WCaVNeSxbd/jXcD3w0bEQTB23rde9Hew3fW5h/H94r9f7t4pz7/4669YfSGXWkdxq2yQ3vspfBKBH8ig1DCslntGYJQ2VhBgHkK23/0dSRAksAR4ethZZt0qRofCzApq2vtBmAolU3thRyWO4Lowq2blT0fbMKSBX94q9IQmCfQC6r960Ktso9RBr3D86erw50+BCkEWfWdgqwal04h7lW2dpZAmcNkCoYIgQSjwYjX/RFlCTpwexMsFba2oaHDYA+WTNifVr//zpf7lFTffdGys2ZX73V7BkFROXlZDqoA82FMXo740la1p65bYKjQD6u9bmRCBlDAblQ9tmLCzqz6zHNgIEIpVHvs6/Ibe7mtwO/90Vdx1OpvNI3BkOGm8oa9f5g/4mccUVovfApZfPCcOO5rPMynuR/u5wf9z9/9wmNf53sFD1uvb8fmv62Dwc///M/z3/7bf+MP//APWV9ff+jYlZUVNjY2uHbtGgDLy8skScJ4PL4ritTr9fj0pz99NObg4OBN1+r3+0dRo+XlZb761a/e9fx4PCZN0zdFlhb4e3/v7/GLv/iLR7/PZjNOnTrFZz7zmXesRjVNU77whS/w5/7cn0NRlLd+wbuM3uHJWJXER8oQLMbPwgzXkI9ed28k597TvXroNS7eq2FI/Pf/+QU+9rGP0XQMVutVU+nLOzOeWnOP6gh3xgF7h3SjuiIQpSVPLNl0HJ3+vKpVX51GjPyYoijRFBn3sG/hS9f6nF6SaFsqF7pV89L+KwPsKOXJNYeWo3NlzeX/snVu9Dxe25sxj1I0VcQLM1YlkZd2Jsz9BGulQU+AD5y1+MbtMY4QYqoS612bJ3SZ24OAc8sOy67Kizszxl6CrInYlsYHdIWDSUSY5LiGjJ/knG2ZdBwNYWtML9jizHqbn/7UGfqzmOs9j9404cqpGookkmUZ39qa4cUJWVFyZcVlpW5SNxSu9eZMgowfutzhpe0Z3vaEhqVwZbXGPMrIixJVEtgaB3TiAkeXuWipDL2YZ0/XkSWB337xgGdWNZBKVhyDp1ZdunWdeZAx8hMcXarE2iSRaZDyAxfbKJLInWGAIkGQVDWhYz8BSq6s1ug4OpMgwdRkgjgjSDJuDQJsXSJOS06JJXkh8OHTdYI4Q5VK/vvv/h5Xnqnmg6XKbzkfe7MIP8kIk+IoM/V28L2YMfhu2YhFxPxx8F619/CdsfnH8b1m/x8X7/Tnf9y1tzMOGHgJbVs9ig73ZhGXw4SdcUScZGxODm1z3eRs22ToJxXbnB8zff01PvMDz7LWclBkka/dHLFWlsR5zmCe8JMfXmUwT7g1mPPl6yMuyCKCAKdb5mF5TY5tKtQNlZd3pqRZzrmuS9tR8ZKMIMnZ0GVe2Z0y9lNOr9f5Kx9d53Mv7jELK17/mq5wvmNx9WDOV2+MWKpJmKbM6abFqqszDFJ2xgHdouRM1+Z0Q+cPrvbYvLmFu7TM5VUXSRDYnURc0mRu9OZ0ZBHX0ZCLkmGQ8ol1nXGY4YQp/TBBV0VmQUKUlzhdhyTNkYnI/RjDUHhqqc6SrfDRs02yvOC/PL+LHqcojs6HzjR4bX9OmJZIbZOupaLLImdLkCWRK6suH8+LI/uuShJZXu0XT65URA9+FPP/+R//mw88+zEurTZQJZHdScA0zDjftY9Yi+71R47/XjfV+86V+82h468DHsvHuReLOf/RT/8QhSC97et8N/Ao6/Xt2PzHOhiUZcnP//zP81u/9Vv8/u//PmfPnn3L1wyHQ7a2tlhZWQHg2WefRVEUvvCFL/BTP/VTAOzt7fHSSy/xj//xPwbgU5/6FNPplK997Wt8/OMfB+CrX/0q0+n0aDP51Kc+xa/8yq+wt7d3dO3Pf/7zaJrGs88+e9/PomkamvZm8Q1FUd5xI/5uXPPtoFOT3mALegTDvBhfNw12ZwEd10BRZBQFLOONv93i9wfxEwtlTlxAt25h6hqWoeGlJRsdh91ZTJIL1E2VUpQwNIXLK40j3uSuUwlfjaOCKM7x4pwl1yIpc7wwp0Bg4KUgiNweVmxCs7DkpZ0ZSVFg6DJjLyPKQ9IcPnVe49xSjcsrDTbHHq/tThAFme2RjygIqIrMnYHPpdUa++OYhqnhxTnLNZ1PPdHhha0JQgk3BiE704izLYeD6YDb+x4NPaHlaDQtlf48oShKLF3B0lU0VeV00+R1DZ5ca3L1IGS1bqCrCYKc8frBnLNtlzgtWHJNBntxpS8QFlxe1imFgqIUSIuSqwcBs7hAlESWayb9eYwAzKOckoILyy63eh62rtCxNTqOTgIMpimXll28OKVuqgz8lOfuTPhT5hK6rtCWZURAlgu2xj7LrkHfT7nYdVluCFiqzCRI2JsFlIKILInIioJlaJSCxPN3RnQdHUvXuLKuQVnRD+7OAlZdk6Qo6NQshDKnpcMHTrXw0vKR5mOnJlHOIkz9cD29Taf+3rn73cDxdbIwC98NG/E47/det/fwnbX57+b1v9NiSu/U53/ctdd2LfyspO1aKId6JJ2ahKwobLRr9L2ITi1CksGUZbYmIYYso2katRIUCS6uNigFib1JQM1QuTkMsA7V5rfGMZIocG0/QJIl5EM2tL1RQMvVONW0aFoa37gzpGkqOLrNha7FNw61DLqOgpwKrDcsvHhOCvzXb+wRFzmmKpNT0nYMQOJ630cWRJISNmwTWRTZnycUFEzDlJajcaZpc2vks9qw2JLg/JJNw9YIsxJTz4iSAkEQKAWROwOfIMyRZIE0B4SSWZQhyxLrdYvbhY+aZwilSJRnTMKUkhJHU1ir6/z0J8+xOwv46o0h4yjFD1PGsszOOGYaZCRFJei2UqvoR7enEes1jXFU0HHesO91U6U/i5jGCUkuMA6r8l1JhKW6RVIINGwNNy0x9IKkEI7m0r3+yPHfVVm871y53xyqWZXYacc1jnQPHtXHedjce9S96XsND1uvb2cdP9bB4Od+7uf4j//xP/Jf/+t/xXGco9rOWq2GYRh4nsc//If/kL/21/4aKysr3L59m7//9/8+7Xabv/JX/srR2L/5N/8mv/RLv0Sr1aLZbPLLv/zLfOADHzhirXjyySf58R//cX72Z3+Wf/Wv/hUAf+tv/S1+4id+gkuXLgHwmc98hitXrvDZz36Wf/JP/gmj0Yhf/uVf5md/9mdPGCoOce9m8iiby6IB6GD2RpPogk3gQeOPC4YsfrYVAUuuMgmLQ0PDVBl4EUGc87o3pWlpIECJQFIURyJVO+OAvVmAWIjM46RqKNYlLjdrbI48TFXGNVRu9D3Ot3TalgJCQZznxEmBpgpoisQ8SFlx9UMDVtCbRzxzusmqa/LbL+7QrRt4YYYi5jx9qkZZVFSlkixwXrT45IUO602T3jTiZs+jTHJW2y55UY2PbxdEWY4iSYc1phKyJNGt6bi6jKFIzKOcuga704C1ms3tvkdRlqiiSJRmfOVGD1tTubBk80Tb5c40qOj44oQ0LxmHKdMg5UvjHiJVOcVgFuMYFV9/lJXoksTETznVsPDTnGGQYCgyWi4S5wVBnBInOZ6QMvBi1hqNSjwmzegc3oMXtyf05zGOqvKRDbtqFJ9FfLXvcXnFpW1XjWhtS6duqBzMIvYmAZIosDMJeGLZrRrwqA6HC4aJNC/YGQXMwpgoqyI7Ay/GUuVHUpVMs4JJlEIJ6813r/Tj3cZxMZymIb31C74HcGLvv3fwfhZTOo5JkBBEOdf7M66s1I/2rb1pxVgniULVFKuIvLIzIYxzcq3kia7L0JO5I8LvvLDHR8+2qZkqL21PGXoxZ07XcQ0FU5MZzmIQSwRKiqLgtZ0poiDgGAppWbA9CdBlmVwouLBksz0NK9HHKGEuCxiqwvyQYOLFO2OSoqCuq3zwVIO2pXJzMGe9btI0NIbzmI+udxDkghsHc2ZRSsfSWT6k/L498gmSlNf352gCOLqMJolESY6lKihSge5XwRlZhKjMWTNNVhsakihxZxiQZzldV2WlrnOj7yOKAmu6gRdVTHCnWjZ/+SOnuXowgwL2JyGOqjAOErK8wI8yTrdNpn7Kx880cSwNXRU5r8lMvIR0FqLKAjVdPWIR2hxlpFnJ81sjoMSUK5t2735/PGh4bxBxoVD/dubzggmv8k/0x77G8c+yKERUZZGlQ/XoxWf7XsgwfzfwWAeDf/kv/yUAP/IjP3LX47/+67/Oz/zMzyBJEi+++CL/7t/9OyaTCSsrK/zoj/4o/+k//Sccxzka/8//+T9HlmV+6qd+ijAM+TN/5s/wb//tv0WS3tgw/8N/+A/8wi/8whGbxU/+5E/yL/7Fvzh6XpIkfvu3f5u//bf/Nj/wAz+AYRj89E//NP/0n/7Tx/4jvN9w3KlC4GgzOb65HF+095v8D1IH9KKMzZF3F/3Y4rq9WcQ0qpzSLC2RxTcUcOENDutX9iaoskjtUMsgTStF5e1RVQt3bX/O7bHPumvQqVcMCatuVYp0seuSZAXboxEfOdVgEqWc77rsTgJWawZJVrDWsDBVkY7t0nEN9kZVSnO1YVQHC1lGVQT2xzFBmnFpxcXRFeqayu404npvQttS8KNKW+FmP8DUVZZdjaalsNYw8cKMAkjTEkkSEAXws5wPna6x3Kj4+L+1Oeb1gzkvDeCcHjAL8kOqT9BkAUPVGPopcZqxVtMRBOgHCf1ZiK5IJHlG29bww5ysiMnSAkWVKREw1Eq4Z3sUMMtKLq86OJrM/jwiSgtqhsz2OGS9YXCr7yGUcHs85cmlis2IEkZeTE2roiN704DhPEYowDJEFLG6tijAS9sTPn6uzZWVenV/DtWFa6aKImesqMbRPADeNMcGXkSQpPSjQ9aKouK3fmq1/sA5vJhTAz9iFuXUje9+9m2BtxO9vWs9lflbv+B7ACf2/nsHb6XW+rj4TmcgHhVpXrA19liumUf71ubIozeLGAdpFaBQBIjB1hWitGClYRJkGadbJr/pgwN8/sVdznRMtoc+aZ4zChLOd11uDeeoosRKzWDgJQy9SghsvWEiSxUDUVGAqYusOHYlHqZJpCXoqkTT1tEViTCNKi0ZSmRBoEDgbMvk5sgnTHJ2xxFDP6Zh6ZRiwYW2w9XtGVEGdVul78W0LZU0L9nsB4RhyqtjGL98wA9dXOKJZQdJFhlMQ3rzGFkSEYB2zeTyisP5lsP21CfLCnYmAX6ck+QZvVlYHZw0la5jsjsOUESRF7cnJFnOMIj58Ok6UNJ2dPp+jGupnGvZ0CrRDYWnV+tMooThLEaRBYI456s3R3xgtUaaFQRZpVnTJ6JmVho7FAU19c37/XGH/Uj12osqJftjvslxJFlxF6354/gnD8K98/1hgZrH8ZPer3jsUqKHwTAMfvd3f/ctr6PrOr/2a7/Gr/3arz1wTLPZ5Dd+4zceep3Tp0/zP/7H/3jL9/t+w73iIfc7wR935pXDqP+DqMOOYyFYctyxs1SZ1/amjIKY1ZpJmGYsNSpnMckKRuEbp29VrtRyjy/83izild0pUHJxyaXhKGSljiwJuHqlOrwoM1ocPrquTphmPLFaY+BFaIpEKQh8+FQDx1A407bxk5xb/TkTv6JJRYDlmsHOOGB7GHBr6FeNxvtzTjVM0qIgKzPEEiZ+ytYkwFAkhn5Cfx6zVjeQJAFFlLCNkqahIdsCu6OIcRBjKDJbo5BxkNI0VRxNYncaEiawOw25pGkYqoQgCOiaRBIXSAIsuQaSIJLnJZMgxI9zVEXiymqNC8s2p2o6X9kUGExCkCpFUFURmAcp8zhluW7SMDTqjkKJwMhPiLKcH31yidf3Zqw0dW71fM40HRxN4cm1OoN5xP4kIitKPn2+ywdO1fHCPsMg5vdeOeB0y0ZTqu96Za2KyO5MAm71PbqOzixMaDs6F7vu0Zy7t5xsMYcsVebGwZSOXtXy7s7iB+oYLAz4gse87egocvKOpXbfCYfo7URvj6+nNH1vHAxO7P33Dt5pjY53MwPx7awxRRY53ao0YRb6NxtNmzQvONOyMVW5qkUPE7DgyeUaf7I5JIoy7khw2oKJF3HgJWwOAxq2RtPW+IELXV7emzCYxdRNhdWGxSRI8aOcosw537b46LkWL96ZMvADLi27XF6pMY0TirxEEUvmSc61gzlrdQ0vSjEVCVkUcHWZD67XqbsaH7AUnr81YWvksTMN0CSB9YZBnBSsNCzm+1OiOOd818GLUrqOSpo5fOFgRhjDMIx5dW/CM2ca7Ix8Xj+YE8YpcVbgagoXuzZNQ0UQBQRgFqf0DzOwkiQSpgWzIKftCOR5wSRMeGlngmuq5EVBURQYsswzGw22RiE1Q2alpuGYMo6uUFDt8W1Hr1iWdIVJmHCha6IoAgM/ojeNOdAjPn6mzSRMMBWZhiGx8+LD58CiYsBUq7607WnAet180zxZ0JoLQoki3X/eP8p6OP4Z7p3vDwvU3M9Per9n6u7F22YlOsH3Lh50yj2+mI5P+seZ+BtN+yhjsICfZEyjjOzwOp8410Y4XGyTICEuBAZedKRIu/hMe+PwKHqQ5QV+UmU52paOUAq4psJonjCLYmgAQsVbbaoyQZJxoeMyCRMUUeRgGuHoEgUVV3+QZmR5yaUVly9d7VMUJWlW4Cc5YZrRMDW6Ts7ezOfCksvQT2jbChe7LnkGwyBGpMSLU+ZhzMgL+NZmyQc3muyOAz683sTWZJ67PeTWwKPvRzRsg1EQE6Y5Yz9CFEU6js5ImdG0dCxD5sqyi6xIbI99ZmJGw9EQpYpBQxQFBn5KVpTEcc7FroMsCkiShClLrDVMxmFCVuSM5jGqImHrCkuOxvbEJ8o0pmHGNEz50FodS5NpWiq3+h4qAqJY8uSqyzSsVCjjPEeXJfqzylh//FyHW0OPnIIkyWhaJqsNg5quHm0Ii7my3qj6HBYlPsfnzr3zyNZlrqy63D4sLbuX1/o4FnPST7IjMTNFPGwwy4pHKj96mEPyThj6dzp6e4ITfKfxbs7ht1pjD1qnC075ZddgUd+xGLdSu9uBXGSrtw/1ccZezJKtMs/hybaFIEoM5iHnOhbPbjS52psxD1IUSWS1btI7DCYhlDRNBcOQqBmVQvvezGfkJ1zvz0mznINpzEbbYX82ZK2ucjCNcXSZLCxomCqWqiCIImle0DZ1zrYtvrU9ZhblqEJl10sK4jRjpaZjGQqGLHL5TIslV2drvEfb0egr0DQ0HF3lvz6/zfX9OY6hgFg1ZTuaRCHAxhWTl+5MuDHyeHV/QhDntE2FUx2LZqjw5LKJbensT2IMTUITRTRZpCwFhvNqf5FECduUkUWB7XHApdUaNV1lGlWO/v40pDcNsXWVtaaJKkrUdJUgzuh5E84bDtd7M9K8RJEEGoZ1131cZJXhjf1gUTEwDhL2woAsL9gah9TuKSdqmOpRtcO3Mz8fFPlffJYHBWru5yd9v9n6k4PB+xCPcppejHmQiuyDYOvym0pAGqbKqbrB9rTk6dWqLnSx2Oqmyu1xSFnAV28OeOZ0szLqAsziDFes0niGKmHrFjuTAFtT6M0ibg3mZGWJq6nsjKtGaFOplDE7ts5r+1Nu9efIgsA0ytAkgW5NJ8gyDEWmN/FJC4nlmo4olAznMa/tTfjUuQ51S6Usqh6ByWGEvShKplHBesNkZxrwf1474KNn2kRZQSFIhHnGnUFA05L57y/sUDdl5nHO5sjHNVTqqsLWZE52KPTi6NV71HVYr5vUTIV5lCHlBRQgKwJdU2OlodGwVL54fcCpms40zLm8aiPLAiM/xUszaqaCIomcblm83vNwdZmOq+HoCjd6cyRRIMuoamelSoHyoqGy0bb5+uYY3VBpWSphWpBmJWM/pmlo7M9CRAT8NMfVZD54qk5NV0mLgu1xQPuwbyCIc6I4Q9dlnl6t46cZglCC8Oba0Xs3/SSrBHGyAvrziHFUkGbFfXsG7mfAFVm8y9F4kGPxKE7/O2HoTxSWT/Bex7s5h99qjd27Tu8tfV1ksBfX6M0i9iYhe0rAhY6Ln2RHGcU0L1hxdZIkx0tzZAHajkbDNui6K4Rpzs4kYBzEbI9CnlyukRbVASRIqlJNURCwFYVplODoMqamEGYZ+9OIraHHUs1k7MX8lQ+vcn0QVHoyk4hPnGuxPw4xTQnXkPHCnCjxqdsKl7oWUZLR0BV2xgEfOV3nQ6cb3Bx4dByV3jyiYWssOTo1XUaXJDomtEyVIM4Z+CHTKCEvS5YcDVUU6U1DOpbBf3l+p1JvjhOSuKr1n2cZX74x4tKSyyhISXKYRDFNS+d006RuSmwPI5q2RpjmFHlJXVV5bThlFKb87gt7/PDlLqcaFmlesDkMoCjYm80wVRFX0yhLGAcxXceoRERNlVsDD1tTmByWkXpxxku7YxqmSphmrN+jO7DoSQySjCwradnafRXs34l+snsDpG9nvn+/2vrvn6Kp7zM8qrLfO6Eiq8oiNUvliSWXpHhDrXCaVM2mNaMyhJJYMQksPtOpw3KjgRdRN1U2h5WQVt+L2J74zMMcTRCJsxyxhFf3JuxPQhqHtGbX9mf05jE9L6ZjV9GepZrGqmuy2fe5NfR4eXvG3qwSjxkGCXuTiBe2J9QMlXlSkBUwDVImQc7NvoepCJX4zd6cWZDyys6YT5/v8ETX4olunY+frTOLC24O5ry0M6PvRaw3bJZrVY2qpSskRUGSFgiiwJJjsuxA3ZTxo4xv3Bnz+v6UnlfV8680DVxD42u3R8iiSFbCh07XubhUbWBDL+K1nQldR+NjZ1t0HR1HlxCBy6s1zndtnlpx0SQRVRXJihIKmKcJe5MQU5X5vz++wcfP1rF1hcsrLlGas9YwySmwVYVZlODFVcanLIUqqlarsgAdWweBSklUE+m62tGGTAl14+5066KOdKGICZUjkOQF/qHY8eJA8SAsStwWr28c9qIcP3gs3u847h13vzVw73w/UcA8wQm+Pdy7hu63pxwf86D1fLz0NckKBt7hNQ+DSGlecL03Y3cSHkarqwDDJEhxdYWaJhMXYKoKHzvbpmaoTMMMWRA4mB0eVA5tjyKKtG2Nj55u8v/4xAarDYMgzpnHKTVdgbLqNWiaGoJQ8qNPLqFrCp+60GIWpOiygKMq/OjTyzzRqXGj73F7MGcepdR0lcurDZ7ZaOJnObIoVvZdEvnwWh0vzigR2BtH/OG1HmlZ/c0sBZq2iixVWXVVkYiyHFtTURWJrmtyZxKwO/XZmQQ0LJ0rqy0ur9aJk4IwjvnmnSGSKPHC7pQ0K0jTyk6/tjtnFKTc6HlM/Ijntka4psJqy4ASxn7C7b5HmhXsT6pDycEsRhQF/Chne+KzPfbZm4cIpUDbrvrUHF2mbiikebWX3hlWhBS9eUVecj/7Og6qjPWplsXZztunoX4rfDu+zff7vnCSMXgf4kGpvMd5/f2ivg8r07BU+a4So0mQHBmKlmtwtmMzDRJMVT7qL0iLAkqBsR8xDTJcXeZmz8NLUuqGgiJLnGqZpFnJi9sTxn5MlpUYepXWVA/r7c+2TdbqJq6pMA1SvnJzwGt7UygL5nFO+7DOvWZI7E1DfvBih51xwNmWiaGKaIp0RAO3NwtZc002GiZX+3OeXG2yVNO5tOwSpjmmIlFkY7woQyDlYrdG21E51bDIBJheTWnoBbZeqU92bYXJASzVdK7uBbw8HHLKNTm75NKfR7Qsg0EeseLq7IwiNEkiL0v8OGeeZHzl+pCsKLnR82g5GjvjkHGYYUgimwMPXRGxFZWn1xv0g4gyrmrDG5rCC9sjLnVqnFmyadk6pqrw2v6M5XrVZ3G+4zDyq36NIMmZ+DFynLNXBAy8CPeQ9WHBNpSmBYoikmYFNwc+rlaxZSAA5Rtp30Ud6fF6zjCKyYpKNbkkrw6DhvomxqtFs3JZCijHDPu9qeb7RSTv1+z2VhmE79ca0hOc4J3C21lnD1rPi73lWm921Mu26prkRU6WitQcmSDNMBWZaZgw81MkUUAQoeuYHJjgGkp1cCgKVEFgEKV88lyL7VGArsr0pxF7s4i2peEYCi1HJ50EfPlGjyeXHHRVJC1lkizjdMsizjJe3BpzablGf5LgJxleWrA/i3hizeVLu322ZxFRmHF5rcRQZVxTwYtTFFEkSgtONXSmQcJeWuDoCn0vZmvgoyoCw1nKua7JTKxEylqOQtNRCaMxggRBmvEjl7pc3Zvhhyk3Bx62JWMqIk+fbZKXJdf3Pf7oWo+mo3AwDXmi4xyWfOrUTJXNQcjIj7jQsXh+e4QqSaiSwJ+9soIX5gz9CD8qeHV/ymAe05uEuIZKy1DpexGKJPH6wQxLV1g55BW4NZjjHGaXKSsxyh+q6/T99IiQYnPkUTsMHi3u+b2+wlvhYb7Hu9VEf7xRelEC/f2E769v+32C8aEDXtXSP3rJxOKU3JtFb4rI9mYRu5OwcurvAz+pyneu92fc6nkESRUePt0yUSSRtbrJSr36eREZWnVNvChFVxRsTcJQZUxVRBRFJn7K0+t1Nho2+5MQV5ORpUrCPc0LFFnEUGS8KGNrGHJrOGc4j+nNIq4ezAmSjFGYs9GxsVSZpiFDKdAwVf7w6gGSUKlYnm1biAjIMhiyyFJNx9ZlPnSmyQ9f7GDpIkGaca0/QygF7owD4ryKOrm6igg0bZ2mpdIxNS4uOzy93mC1qbNSNxh4KaIAHVtDlEGXZNKy5Fpvxv4k4ur+FD/K6To6XVslo6Qsqp6Dg2mEKAr0ZyE1W+FW36fvx2RpxjhI2OwHHMwSdmcheVEiFuDqCi1b5Q+uDUgz2Jp6vLI9RShL5mEKZcH1/aon4mAaU7cq1qd5nKLJEmFWpaZ7s5BZ+IbBXW+YrB2md/enIXGcIQgcRf6Vw96RRR2pclhzu+gLUA6FaII4Izh8j+u92ZuiMg1TpW3rdO6TYl7gUSNB90Ym3+6YE5zgBA/Gt7vO7reeN5o2piax6pq8tDshzUrCLEORxKN/NUOlFEqmh8GJ812bpg6zMKU3C4mignGYcKZtV2WRtsbAiziYRXhRRd3s6DIv74x5ZXeKrSm8euDRnyekaY6pyYiCwNY45GAacavv0fND0gLyLCfKc17YnKDrMvMgQUBgbxygIBImGVFaIIoSyzWNcx2XSZAw8SNe35+xMwrxooztUchG26IoSiQJdE0iL0rOdCx+6FKHpqnx5IpLTVc507TJyhLLUMhzCNKcgZ8w8CrWog+s17m07HJuySHIcmqWgm0oWJpMkCRoisgsTGhZOqMgZuglfP32iOE8Yh7nxHlGRR5eIgqgiJXA2bmOTRhl6LJM01A507aZRgmyKOFFKauuSZjkaCKkWcFTq3XWDvf6jaaNIolYqsz2OOBWz+N6vwpa+oc+wsOwCHL6cfamDDHcfeB8J6P8i1KoRYDr+w0nB4P3IN5qATRMFVOVH/uk+6CU7sHhQeFhJSCLhZTmBbeG8yqFK4KtyUdGf7E51I1qc/CTjDMdG0GA88suXbeK4MyCmI6jHUX/246Gpkh85HSLPIcbBzNUUaRT11iuG4z8lGsHc6715wjARkPHMWQ+dbaJKgs0TRVZFnFMlZt9j7Ef89sv7PLNO0N+449v89ytEVle0rY0dEnmwpJLw1S4vOzimAo3e3P8KOfmYM7Aj0mynK5V1ffnZUl/HiGLIoIIS3UDQ5E407JxTYWLKzaDCPYmIR9cr/H0Wh1FFEnirKK7EwTCNOOV/TnjKKVuqCzVTRy9EmCbBjEtR2fmZwRJiqZAlJe0HJ2Wo2GqIqoIXpLStHVsXeJGr6In7c9Dlh2TYRiyPw+RRIGyFBn6MbokE2Up/Wl0VFsbpQWOISOUkGZVRqeihg3YHgf0ZhEDL2IWZWiazHLdoG6oTMMEVRSP5uSiL2Axp6DqNZHF6v/Fpm+q8psOm4tDyHrT/LajNI9ygHgnSulOcILvZ7wb62zRy+YnGZIooEgCZw/VjGvGG5lJAEUWoBS4uj9j24MoydAVhb15QN2s+PrbtsbV3gwZgTApiNOchqGwNQyYBxmaLCAIkKQF22OP/UlIy9TRVZGzbQtZFCjFKmgjClW5pavJRGXO3I/p2hpJWSknf21zgFjAhWUH15DICnhtr+qX681jkjTHi1PSPOfZM03WGjod16AA/ChjvWnSsTQEUeD8koOuyEgy7HsRsijhqDLO4aFlZ+SzNQoZ+hFXVmtc7DoVeQfw2u6M//dX7/A739xhexYxC1McU2WtpvOhtaoXcG8csTUJoajYkxRRpDePOd00sXUFL0kIkwJXV1BlgbqlHh3KBAHOdOxDTQEZ6dC+H7/ftl7t/35SRd9vDeekefHIQcvjQU5Lle8bSFr4Kg8qMX07WAS4TFV+LErU90v50clu+B7EWy2At+vs3Ou4H38vRRZZqZlHZSX3e8+LXZeVmsnZlkPbVtFE7qoVXxwONkceflzRj5qqzDOnm9QMFVORudH3cHUN21SIk5xJFONHOT96eRlFFomLgkmQ8c07Y9K84HS9qlMsAaGATl2j5Zp8ZL3F9jRCl0S2JwFpVuJFlQpwgUABXOv5ZBRkeUHDUpEVgaWawat7M1q2xjTKONu0+NHLK7QtjXGQsDMKCJIMx9Qq3uuyZOKnTOMUL0mRyoKiLHlpd8ZgGvPC5oRZAq/te4RJzkrDoGGpiIrMesPgbMchK0t2Rx6jeUWp6hgi//1bOyQ5lCWoslB9vxI2hwFCWXDjYAoltE2tUpAuS2qGwlrT5HzbJswKPnqqScNRcTWNKC6JiowwyTndMBAEqJsaXpJQMyrWj25dw9VVxmHC7iwgigo2Rx59L642YQFquoqlSORFjqVUpURJVh7d02u9GV70Rg/C8Sbi2uG08pOMjeaCOap44GHzuKF9PxndE5zgBG/G8SDEYp2neYEXZjTsih2nbqgM5hEDPyKMCgazmCg9HHvY19abR9w4JKWI0oKzHbsit1AldFVmvaGjyTI3BnNsVSKnZLlR2c2iLLEUhY+dbWCoEh1XxzYULi45ZDlsj3xu92eURcnm0CeJczRFxlQlXE1lEKT0JhFf2xwiiwINq9IsGHoxg0PtAl2WqRkqyzWDC22XArF6PoRplPHC1oSv3eyzMw7JspysLMiykjDOibNKP6emq9zszSgQaBoynzzXAqostqJCt6Yz8RPyPGV3GiKVYGuVPo1rqZiazLm2i66Aoyu4moQgwI2ehyKLhGnJqbpFnJZkRUHNqKhMp4c+x2LfNlWZNC8qOnB4aF9J29Y523JYqZmPHLQ8HuRc9LY9yO95p7O/j+tHvZMHk+82TnoM3oN4tyi0Fo778f6ERxX4OC5KstY0EcqcuKiaj+/iBM6KI7rR9cbdHPh704CurZOVJR/baPOFV3eZBhnLDjRslWdON1FEkZEfkRc5/UnOKIxomgqlUEVonlyu059FPH9nxNmGwfWBz+UVFy/K+MBajZ1pyEbToOcldGyNLC9YaRqc7zhkRcH+NORc12bkJZzv2Hxjc8QHT9U427HZnvqMvBhJAEOSaDdMXt+bUarwzc0xqy0TCVium6RDn+1hQJAkzCII4oQwyTnf0hjMJBqpjB/n7I494lxgHGTM4wxTEfm9lw+YpylJWvDxc21EQcDVZK71PLIs5/X+nLqh8dzWkJIWpibSsXXmYYYkleQInF2ymCQpn2zYpFnBraGHkMGqYxDmOToi0yBFk2QUqYrSdx2da70ZUKKJEn0v4lzX5uW9CaYsUzMqZ7/nhUhIPL81wjks0Wo7GkFSpV4XdaWL8qLjmAQJpSgdjQmO9TDci94sou/FpFnxyMxEJzjBCd47uJdrvu/FZHnBNKzU0xVZRLon+1geRhLGfszNgYelqfhJilAKDEJIihJRgjgrOFfTWKubVROuIBClObIIuiwiSwpfvzPmL3xwlZqh8vXbA9aaOlFS4Bga8zDj1dmUmqaSlSXzIOXl/SlBlvPi3pinl+uUlJzvONimjK4oaIrIzthnZxYx9GKKomQS5dyhxNFkdqcxmiyS5jmnmg6CAKYiEMYpYQqzICFPZRRRpGYpBGmOJEu8uDUhzgpUUeJ00+B6fw7AcBrywStLjIIER5OrkqRSYNU1+KEnu7y+O6emyZimwoW2jaaJ7I5DOjWDuilxsdvlG3eGxHnJYJ5hGRItWeNPPbFUBXuSDFkU2GhbxGWOqbwhNKnKIrausz0OEBDIi8pmd2rSm0TEllydrqMfadQ8qu1+K+rQe3sBvpt9Yu8natOTg8F7EI9LofU4TtQidVc57uYjv9e9oiRNQ8KqWEnfYJnJC2ZRQk1TjxgLNkfe0SHkQsc96j3YHHvIgKlU/P0LifJPXmizPQq42ZtzZzKlbWpoqsRlx2Aep/RnEWGaEeUZSSbyZ55aBqBj6fz+6/vYqkSYF5xrOVxYsQnijFmQMvRivCRBE2VuHlRp34mXMvQS/n/P7fCB9TrSYZQ9yjIurbq4hkya5wy8BE0SudP3WWsYWKrE2bZNT4946U5YpeVEgSDOuDEMWGtaDP2EG/05cZ6z3rCJ05wszwmzgiDLGXoxqiQxDVIur9UQclhvGczDlMvdBn4SY8pVtCaM4Y8P+nz4VB3XqBx0P0zp53BjMMdUZfwoJc1LVpxKGG4SVFkSV1O5PfDoOFXad9EfEKUTnlh2uTnwoBTYmQUEaQ6U1A2NzaGPo0uMvJTWYaRmo1mllTt2lTq+n4FUZJGrBx7n2jaTKGGj+RBWCuENBqN7je5J0/AJTvDex71c82lWqZ0varvrhoqlSoy9hAttEUuXK7advKA/jbA0mYkXIYs6tw58FAnSvMQ4zMheWamTZAUv7UxIUxjNQ2RZZKVmsDMJyYuCV3enfOhUg/48YRJEnGpZzMOMaZSwP424nXpstCyKsqRr6exnAevdBnFRsNFysHQZEYERVa1/kBSEacr2pKRjqcRZhi5pbE1CoiRlHlXCjXkpcODFRGmGn2SUAmR5ge0oPLXiEBdQCiXf2pwglCBKAudaNk1Tq7LMk5C0KPijawO6toqmyKRFRsPUGc4jnl6v8cx6g3mUcm3fIysKPrrWoqaq3JkGUMCeF7BaN+jNE6I85UK3zrmuQ91S2RyDJknMooyarnL6vE2VuubIGV80ELftyi7vTkNKQaLr6m/KGi/u9f0akh8F9/NFjoumfTt7QXbPoebt4P1EbXpyMHiP450WdVos4rX649V4v0mUpKwiM4okUlIdDnbGQcWAk2XUlKqk6N5DyMWue8RIoSkK52z9KF25+J4DPzpkejCRBYmGozCYJtwczhnMYwRgGmasuQZpXlDTVV7enfDS1pS0yDnTcjnIQz6k1NkZBczDlK1RgJekGIrCYB5CCZIkMA0S8rzkVm/OhSWHcZgjH6pO2prESl0nzQp0VSLOC67uz9EVicsrDgjQdgymFnTtSsn5UschynP8MGPoh5iqiiyIGLLILIKGpbGqGiRxTikIeEGKSEnPiznVNFmrGYzDhDwXOJiFZHnOa7tTapZOlJVE8whbk9ifFUBKbxohSwKmrpCnObuzkDSDmiGzVjcYeglyCv/n1X1+6GKXpKgExdabFl6YUZZVPa4uiWR5Qd1SidKc8x2bAy9krV7xXr++P+Vsy+Fst9oo7mUbWmBvEqErEjcHHmcP61MfNLbr6Eep4UdlJjrBCU7w3sG9Gen1pknX1e/KIgRpRe+5Owt4yq6z3jS51fOYRFX9u2WoSILAUsPk9RsVK5ulyLQtnd4s4pW9KWmekxQZHUdldxKwUxS0HY1pmJCWBS/tToiTnKGfsFKzMDSJIBWQBIFJkDPwxtQNlW5d56n1OggFDUNFlxQQC4ZehoBIfx7g6hJCCRe6DmUJeSkQ5SUNXeXlsU9RFtiSxNiPWXJVvDDnyqk6O9t7tGyNjbaBoSuQFvzJzQGUApIsUFck6oaGLIsIQN2QMRSJeZJxc1AFaqRS5NXdOU1L51rP58kll4N5zM4k4PbIQ5YlVusGqiDy8t6UeZSx0bZZrmvISAz8iFO5xThIcHUVBIGOXdGNX1yuyn8WDcF3ZYcPySXGfkLbeaOc5njWeHE/FwGkd8J2HxdN+3au52dvVDc8qnP/fs5anxwM3uN4p0WdjgufLaL0D6MIA45KiLrH6vGOC5x5aQlUz/dmUSWQlWQoosg0TFh1Ta71Zqy6JruzAFkUq+ZUzXjD6JSVIM3epHo+KwqyoiAvIc1kSqroxCxKeKLroCkSdVth6KXMg5QvXusTJBl5IdCf+ZSI/Kev3majbfGNrQltS2UWZsiihFAIXO3PWXF1TF0my0pOtSq6VV0WyUSBOM15bX+GH+csuQamKtOfjEkPFZbPtB0atoYuw3B/G00RUSSZfT9h7IeAgK1rNC2VD52p0ZuGWKZKy9Y41dQZeQnzQ9aG1/Y8uo4GApxrVyrN+/OAZqZxMAtZbej4UU6cFwhFycE05HTDQhJhGMZQlARRiirLjL2ELC94aq3LqaaNLIVc3Z9xvmPz/NaIhqXhhyk9L0SXZCRZJC0K1psWAiWKXPF/3+77mIqCiMCdsYcmSUzt+9dWLgTOogxMVaRMSzaaLn2/ijgt5tNCtGgx5xalbQ967t3Kmp3gBCf49vEoa+74Oj5ejlo/1L4J4gxdFjFlEUUU2R4HdB2dgR+RpRClGQ1VQVGgpmnUNRh6EZMwp2YoJEUlzOjFGSs1E1eTud73SfOcNI9QFIE8LTnwYiRZ4FyrxjRMGHgSvXmMKgs4usg4yCnKkmVbZ8XV0FSFlqUy8mN6fkoYpwyDhLIoMVSVUy2FU00bL85xDJmWozHyYhqeiiooZAI0TZUv3xzwwVNNJvOQJQPOrrisNU1+5IllfudbO8R5SRylPHWqQZ7n9LyYMEnIcrANhbquUHgCZZngRRlhWiJRVr15e1U24nrfJ01z4jzn2t4MS5NYdnUGfoimSGiySJyUHIQB63WD/UnIcsMgTDI+fq7JjQOPjluVmW40bSaHOgTDeYxrVJoPpiYTZIc9DvcI1N3vXi9KjY7bdXizOOajzq9vN1JvyaA+Zn/C+zlrfbJDvsfxKA03b9VE8yARkgc10twraLVoTl2MXRj4rHijbyHNCzb7PpIoVIcCWcRPqsPDS7sTtkchz2+NMFWZrCi40HErEZVjvaZbw4Cv3x6zNQyQJBEvzjnwYiZeiqFIyHJVMrTetHnmVBMvyhh6AX9ya8ByTUeWRX7kUhtdU/HilFmc86UbA1qmwu2hT9OUmQQRiiywWjfx44wgSrE1GUuVqbsaliphqFUTtB9miICpy4RZRgnMwoShH3N76LHRsKkbGrYMg1nK6wdT9sc+W6MYx5b5wFqdj51possiP/bUGs9uNDjT1tmbRFxadtFlEV2TqekyhizRsTTSosAPE8Sy0gSwdJmdcYRjqCRJzsE0pGZr1IxKlTmKS2705lCCJkvUDI1uXedMu4rsj72EmiYRZQVNU2XkJ8yiBFtTsY2qIa1tq3QsjZW6SdvWMTWZbl2jW9OYRQmaXDXwXei4951XizKyflTR363UTUoBaoc6CYv5tBAvOs5SdDz9/LDGrrdqTn4/NYad4ATvBTxszT1oz1nsJdd7M67uz7nd9zFUBceUmQYpV/fn9GaVeFZOwZmWiSxJbLQczrRNbAlkQWK9rjM7zCjkeYkqiWRZgSQLfOJ8G1kWMFQZTVG42vfw44RpkFIzZE41TDaHIRMvYRqlGKpCkOTYmsKlroufVocNQ5XIioIiLWnYCiIlliGzWtNZb9kkec6SK3O+4/AjTyzRMFU+ttHiXNvghy62uNabo4kyX7nWZ2cSkxRwoW1ztlNRfM6SlJEXE2Ypg3mEbSoEcYohV850y1RZaZusNQz8KGMe5zRMGVkRSdICEZGXdiaYqoQqC6zXTPwoZRIkxEXOp861MZSqX2MSpQRJwdY44Cu3hmwNA2pGtW9fXnHJ8uIoQ7A3CXlxe8rIS/CTHEUWCeIMTYRZlBJEWaXsfI8O0vH7fT+7/rg2+kHj3w5RhSzeHdh8FLyfqa5PDgZvE98rLCnvBN3ivQssOazhPF4feBzHF0TDVOnYGm1bv+vUn+QVQ8TOOOCVvQmDeQxCQZTlR+VGdb1qZFpydRRZYMnVCQ4ZaxYcx0FW/Z/mBTf6HmWRM44iLFkiSUsoc6ZxTJgUKILC7YF/xI+/O4n5o6sD0lzAj1P+wgdWcUyVj5yuc6phIYslZzpVn8EPnGtWugdtB0OTuLxso6kifT/hYB5RUNI2NCRJREJkdxTiJzmzKMeLMoKkYJ5kJGnG1sjji1d7PHd7RNvViHNoOSqnWwazMCXKctKk4KMbTbwo59W9Oa/uzbBVhWs9jyQvidOcJ1frqIcRHUeXGXgRX7kx4M44YBZmeFHKyEtwTRVFgbaj8snzHRqGymt7M/bHEdf7U55YclmtmVxetjnbtqrsQ1mleYM0pefHZGlZ9ZfIEnVbPaJ4TbMCL8qZRlW9ryKJdB296gcRRXRVxFBlntloYuvyXeviOP2tKol09DeiMlW5WXVfLVWufi6KN7EULebagg/7OIXuox5k752zJzjBCd59PGzN3Y9/3lLlo72kZqoYikhW5uR5waproigCriGR5gVBmnG+42IbCpeWHVZcg1KAsIC2q5KXYBsyQinQ9yNmcUZS5LTtisrzQ+t1bENk1dF59nSNSZQxmsfsTn0mYcJHTtVwTJUzLYu8KLFUhWkYsz0OSPOScZjwv189YBqkBEnGLMo51TBp2yrnuhaqIDILM671PHRZ4is3h9weBWRpyQ9dXGJvGqNIInGeH1KAgi6DpkrIgsh/+eYW++MAP04Y+glhnLI3DgnTgs2Rj6soRGlOU1MZzGKmUYYkgyHLnGnbdB0dx1TpWDq2IvPpJ7p0XB1Flvn6rRF744j/+fIeFAJ5XjCcRwiUBHGOLgvc6HtH98pP8iOiiMV96NgqiCV1Xan2clMlo1JC3p747E1CXtmbsD0K7toLFvb5fnb9cW308T3kcfaCdwrfSarr77S/eXIweJt4P0Ug7ydRD9yXVQbuXhCLutBFj8DieuphzWHfiw/pTgXWGxZZXhBE2dH1y1LAVCvO6mozqKISlirfZTgUWeTDp+uEWYEuSgRZhqYIzOMCVRSRFQFFgrws2Z/E3Bl5TIOIlq2SFTktR0cVJdYbJk1HY61uMA4zpn7MR880uTUK+ci6S5BkXFhyURUJSRTJi6qnwFJEgiTDNhTmUUbDVjBUmbV6JRbTm0bkRcZKwyRJCwQE0jzj6t4MVYSaKXGmY/PsRp08z5FEgdtDH1UWiZOccRAzimOmQUZRFOiazPX9ObIAglipX37l1pDBLGIwT6AEQRAxVZlLSzZPr9RYb1pkeck8ytgZR7y0O2JzFHAwjyvDnVf1t+UhPV6QZGR5ScPUmMQRJSWbQ4/+NGIUJuQp7Ex8bg08dicBk2N1v5MgqUSHkpKuq9Gx9TeJ4y3mVdfR6bo6uvxGVOa41sHiEFiWFV/5gqXIiyr6U1UU7yojut/ae9CmsjCowIlewQlO8B3E8dKRR+Gf95OKq/5W38M6pACVRImyhKQouLJS5/Rhs2uSlURJjiRKUAoEWUZ/FtEP4XpvjhfnXD/w2Rx6iIKIJklkecnQj5EFgVsDD0uubHhRloy8mM1xwGv7c7YnIS9sT/nkuRYNW+PDp+q0bBlVFvGTgjgrmUVVieqXb/QRxBJFEZGlKtP8ja0pfpqRZjnTIGMUx4yDmDjJaVgK+37INMhIspIlV+OTZ5tYmowqwq2Bx9W9GaYiEsQ5NU3BUEXmSUaU5rhaJTJWiCCIAv15jGvICAJEScFK3aShqzy1VsePUlRZQpIELrQdTjUMkjynYai8tDfFVjTmSUW+IQlC1RRd10iLkg+frh+WjVZik4u/uZ9kXFmp4xoKdVM78hH8JGOagKmJh3oTwhGN6fG94Dh99XGdg+PloY9qo++nl3Pv3Hq/4Dvtb/7/2fvTWMvSs74b/q153GuPZ5/51FzVo+122wbbgEEBQxTCmyd6xQf0WkKKSF5BQAhQpChfyAdAIaMEUhRFEYlCEHqkPDyJgnBsHl4GG9y2293urh5rPPM5e957zfP7YZ19+lR1VXf14O52+/y/VJ2977X2dN/Xfd3X8P+f7pJvEx+myXf3grz7s919Wp3/7UXZPU+xqizSdXTqaqX4u1w3eWS5QSkApcDtoXfUYJyxPfT4xu0BqljpJ9weeAy9mOu9GU1TxdYrgZEgybjV93hsuY5tKrRsjTMLFuc7FgUlZ9o2602TOMu50Zux1jT59OUFPnWuw4UFG0dTmMUJ0zAhy0qGYUKcFvhRzq1RQNPSmIQ5lzs213ozpn5CUYApS3RMjUmUMYsyXt6dstTUeGjZ4f/9iXU0VUaXZHYnPkkBRQ6PrLSQpIofuhRK+jEIgoSjaQzDnLWGSZqUJHnOetPg0dUmJSWaIHJp0WGtY+FFKU1LIcsK9KOyK0NW2BqFRFnOStNAUwQEETSlogz962s9bgw98qKgaSuoksjEjbhx4NL3Y3anATVdpmGojMOYb2+OUSWRJCtZq1scTmJ2JiHbo/CIISnDkGVKoSRLYX9aZX8mfsLAjxCEKkKUFlUZ0Fyb4u6G4XsZ+tdlpYRKr6FTe2385sgjiPNK+fQe0aaTgjf3c0I+TAf4U5ziuxH3yg4Ax+v1pB24ujdhFqa8cjijU9Op6TJukmKp8vEaV46ab7MiJ0oyNkceQzfm9jCsKk8LgTBJ2ZsE7M1CJIEq0yvCC7sTvCijY1XMaeMo4tnNCX0/RBahYxsEUc4kyvjLVw4Jo5wsL7E0haQoUSWBM02Tg0nI7aGPo2vEWUmRFzx5ps04SNGOSCvWOhaXFh00QaSk5NHVJhcWakz8hCDNaVgyVxbrTOOCK0s19gIYujElBZMooW6q2KaKpihHzEAKTUvh//jEGl1bYX8SEeU5sijiaApZlnNzMEOUBdIsxVIldqcBsiCxOfARZYmLizWWmzqfu7zAwcynY6ustAwMTeZ8x2TFMXh4scbVnSmqeERj7egMvIi9ScD+NMCPMvZGIdeP9vAkK/jqtQFRBiMv41zX5pHlBst181jB/q2UM98rOn6/iPm9/LAPo2jle+1vfni+ufcYH8bJN8fJps95v8DW0OfFvclxFNePszet+5ZFWG2+lk1YcUwUScDRK9GSIMuqNGlasUJUDDUKAzcmycvj17/Wm3G776PJEkgCl7oOS3WDhxcbtGyN1YbF128O6XsR0zAjK0u2hsFxtPrKcp28KJElkVd7M17am1VNa7ZCp6ZzOA25djCj54bsTEPitOTaoUeBgK2qBFnGSk1lZxhU4l1pybl2jed3pkyChDCp6OeaukrX0ZHEAgSRF/dnzMIMXQJNFgjSlI26gaaKGKaMLkvUdIWaJiGUAjcHHhO34vF+fNlhtWGy3rWIc9gZ+sRZTlNXkEWJp24NyfOKzrUQCnbdgL6bcLPn0nVUfvDoUHS+UylKK0rV7GZbCl1HI8tKorzSTkjLnGlQbSS6KjD0IlYaJqsNkzgvWHVMaqZMmpUcTmM2Bz5JVtK2NepmVQ6W5CVhmt0hjvdGBn7eRzCPOHVr+usE9FYckyjNubLo3DPadC/Bm/ulrD8MB/hTnOK7EW+kTnt3dvrKokNelFxZdOjWdOqmwmrDZHPkHQeiLEUmSqua/yQryIqSa4dVlN0UwbFV1hsGaVqVxUyijFIoOJjGiIIIYslqy6Rl6yzVDERBYLFm8ZG1Bj/9yXXW2yaDWcz+NGZnElAKJTVDwVQkNFXgL64doisyllJlIcZeTJgWfHNzxI8+vMhGy+Js20CXBWZBws2Bh1AK1DSJrCwRqFSWH1lxyChYrFVZ6PUaeEnG7X6AUIj4aVFF1TWZ1YbFyE/IStibxNR0jaQsubo7RRQFFFlEFAR6fowbpry879HzYixVwo0zNoceaZph6RIfXW1ya+CiyTLbw5AbfY/zHYtPnV9gpWkyiVIcXebq3uTYVpdUhBslAlf3JozjmDDOCbKqR2ytZRCmcHmpyui8VQX7k/OiN4uOe83m+8XuKHhd/9n3EqHEe+1vnrISneKeOCkcYioybpxiawqbIw9ZFLk98Fhrma/rQ0iygp4bkaUpUXYnN3BSFFxaqhpUFakS5TJVmZ1RwGMrDSxdJogyBKGkY2rHG0lZwCSIj7n2qUiO2Bx5aIrEC7sTHE3m0I1p2TKaKDMKEpKdGbYm46c5T2w06bsRQZTx0v6MJcfgQttmFqe4s5yDiY+l1knyAksV+fj5JiM3oixFsiJnGhU0bJW9SYgbphyMQ24PfG6PfOqazCPLDpokUlB95qEbU2QlnZqCIsKNQ49pmHFxsYauyWhxTpaWlEXJoRsy9mPCNEOSZG7e8Dm/YCIJVfPxc1vjKqNiqZxfsfja7SFn2zZ5mXN5yaFTq+pMr+FTN2TGQYYoiiRFxnJDY7llUVdUdEWuGrpL0LUISdTZn0VEac6gSEjynP1JTMuqmpBbtspy3cBUJT55rsPL+1OIwVBE3CijoSvHitWKJB6zTt1LlKxlSGQFvLQ/o0SkU9MwNfl1zv5JJEWlWloK3JP14V7MF3c/9mHilj7FKb4b8UYiVXf/XQrw8bMtSuE1KsoX9yYEcc7XZwNW6yY9N6Lr6LhhiqVLuNMMValoOJdsONs0OPQSHEtjdxwymMWsZiY1U6OmyTSsiv0NKlv9yFqd57cnlFQlRpIIli4hCiBJcLZto8giuiQyizIWLI0XD2Y8sdrATVJmQcY3bg15dKXOc9sTNEXixYMZMz9jqaHjRSmWIjKNUqZhyshPONM2OJzFnO9YfO3mCEeTiBLoaBIlAs9tj1jvmBiqwmrT5PbAJ8sKNgceQZxRNxSiOMOxVMI0Y61hsFI3aZgS+9OYvCiYRSkdW2MWxuSFTMvWqJsyN4Y+bpiTZjlZCboksj2p9BscXUUSYODFnGlbxz1iC5Z2vC83TBVDlijFinBClUUOJIkrTY73ZnjNcZ8zD93NLHcSTVOlN4sIkoyBG1GJ2Lx2YJjGCYJQZZfmbIkfZlag9xsf7mPWKd4W5mUes7ASO1Nk8aiB1eBMyyYrCmxdYRqkTKM7swW9WcQrBy7705B+VDUuXevNSLKqyXQaVk2sJ9PIj6002JtVTUqmLrNcN1FO0Jn13AhLU6roUikwjSu6NFOVcaOMJzaaKLLExY7FxW6d9Y5J21LYnwTcGnosHvEwdx2dvpvgBSkjP8XUJdbqBo4m8qlzHZYbOg8t1/jIWhNTkfnYagvLEI/oSEWCOCUvS2Zhyv/z8j69ozS1KFbNWqUooisSgljx+Pe8iCjJOPRhZxLwV9cHPL81RhVEZFEgLgr+4nqfMK4i6m3bYORGCILAjb7PNM7YHHicX7RZaugsNnQy4PJS1QvRtpQqwl4K5GXJD1/qIB/Vnn79xojBLKUsQSpF9tyQOM251Xf52s0eqihSlCWKBGGUMY1igiijpkg4hspay+TigsPZBYtPnutg6zJLDYPFuoYkV93B89/e1GQapnpcHnZSlOxktN7Pqt97FlesVG8WAblfc9kc94qifJgzeac4xXc77l6fd/893yMsVT5+vlPTq94yRaTnRizWddwgxY1SdLnqEWiZGmtNkyt1ONup8YlzLWqqjCYLaFpFSqErArIkcDCK+Mr1HltDn6Ef40c5miTixhlfu94nTAtWGwaXuzWWHZOxn0BZ0q5pGGrVa3axWyMDluoG3YbOw6sOQZQxCmJu9X22BgG6IjHwYjbaNawjQc9rhzP6bkx/FtO0VZ66PWY0S/izl3rsBBDGGa/uT1BVmSgpWKppjP2IWRAjyyJJlrM/CXn5YIosCARJjqlKdBoGl5ZqrLVrfOJck7at8/BinZahoisifS/icBJiqQrXDmboskjTVvnc5Q6qInK2ZVI/ooiNiwJDkSrHO63sriKLx/uyn2Q4hnKsXaDKIhttk7io9gLgONM/ryzw44xntkb4cXZPFqH5Y9MwoUTA1CS6Nf14D7m44By//vwwcPdcOcW7h9Nv9BSvw3yRdu4SmJov4DmX8UmFypOOfpYXCHLFQhMmObqmcK03o66rxxSVti4fsQfFvLI/Y71lcb1X1ZXO1RXTvGASJOiqWHErNzQUSeBM066EuCSRtq3QsXUeWWnw4v6EZl5QN1R2RwFFWSIKAtvjkOWmTm8aEiYppqaQ5BWjg6SInF90aKgqnYZGbxqxMw6JspSdccDIi1ltWjQMyPMSWYZDNyKnxFEVHl9tcHPgMvFTNgcuti4jCiJxmtC2NV7Y95BFcKMMXZGJ8wJbl/nWZkDd1LAVCVkWqSsKUz+hYWpkeY4giiRpzvlujWmQsNS2aZtVTf24KHlozSFO4ambfRRZom4p5AIs1i36bsiyo4IgUrdV8rKkNwnZHvnUNBVdlei7KQs19UhfoGTkh9QMlU9faHNpqU7DrH6nS90qw3M4i45ZiaZBwvY4xFQqw3ymZR/3AyhyQcd6LXoz18TozSI0EZbrOrKs3FEydBIn08NJVnBr4NGt6Yyl9y8q9L2Usj7F9zaSrGKTS7ICRXnvX38SJARxJdq41DQq4oKjPSHNq4BVkGSUQokkCrx66LJga3Qdjbqp4h+JN3YcCwBVEfizFw9Zbpr0ZxFxWnDoRmRZiRelqIrIhYUaT55t8czWCKtm4IYxDy/VSamCQAeziJapcq3ncmWxxlrHZOCm6LJAx9aoqQp7bsiCqWNpIoeTiLqloigCDUVj4Aasti3O1S32JwFpmrM5DKhbKp893+L/emYP05AY9uDQSygFodI8MBRmcUFvmjANM0xN4UKnxksHM+I8R0CgbphMgoSel7LeNMnyHF2R+chGHTfIyIqCv3qlhywK6IrM01tjLq84DGYRnzjbxFBVnjzfIUgyFKkiEhEKuDX0cKOEoRez1DSOmaBMRWYSptzqz9BkGTfM+L7zHYI4w5RhGiQkhUCaFcfipWdaNtd7MyRRYBYmrDXNO37zk+x184x298jWn7S7c9a7k+J3J/2JU7x7ON3lTgHcWQ9+kk3mZDTnJHvEWqtqKDZV+Y5SDkUWWaxrlW6AWBnpMMkwVfmOxtQkK0iLgjwrqakS2yMfgP1xyMCvnFBKGPgReQpxXqArCssNk6QojpiORDqWzjRI+Oq1HiuOybJjoogiZxdsPrreQpEkmqbCwTTmT1/uAVU95sMrdWZpSpoXhGnV7HW773HohpV4Wlby4u6UJC+5cehyaxwAJXVd5cpinRXHZKWtc2W5xkNrVa+DWArsjUJ2xgHLjSqt2zCq0qdPnGnz8HKdH7iwwM2+iy5K7I48aqZCmmXESc6hm6LKAnFWUBQgSAI3ei5ZXjB0Q671PIK0QBbBliqNgQKBzYFHGGUM3JidsY8uK6y3LbKypKbJBFHK7VFAlFRqn7Ymc6FjYSkSbVvHi1OmYYYsCpxdqNF1dF7em/Lt7RG7o+CO333RqXQM2rZCWhbHLFIrjompScdaBn03Pq4HndPXxgUs1PRjJomTc29nHLAzCu5gNdoceUiicMyJ/X7htIH5FN8rmAQJWVH9+75AADdOGQUR24OAp24O8KMqw1gFJVKGXkrdUMmKku4RO9xywySIM9ykYvb5s5cOWLB0JkFKq6YThjmqIlLTJJZqGppyVKrixZWyuyqz1q7Rm8UsOhYDP2HgJWwPAwrglf0pq02jup9W2ewgLXhpf0bPi0iyKpp1a+CjiAKGIuNFGVGasTdNGE1jtkc+Gx2bfTdEkgQGbogsyfx/f/gCZzs2ixboYsWgtH6k9bI78giyDEuT2ejUuLJcY6VpsF63WK4bCELJ1f0pIvDqwZQkzen7Cbf7PhklO5OA5YaFLIhcG05ZMDVcP+X7Ly7QtHTOd2w2+x7RUdZakURsU0ZTBSZ+xZY3Lw8K4pyDaUgc5zRNjVmYUJYlvVlEw1SZm/W5k6+IInVDPc76mJp0B7nEHCf9jZN9CfeyuyczTG/GRPd+U8l/N+P0YPA9grciAHVy8d3rwHCv+u35mHkTqanJXJvCJEyPjcT8oJFkBU/dHGDIMromMghjoiSnN6v4ptO8YG8S8K3NEWUBWVnw8HIdU5Pu4DvuHjmZrxzM2B4FfOV6j4NJyEt7U64duCR5wRNnW2iqxDSMj0t4PnO+xYWuzWMrTc4u2KzWDbKyZH8a4ccFtiIRJBnnuzXiJEcQBUZujG1o6KqEoUlstC1sVeF6z6OhSnx0o0GroVLTFeIspzeLCZISw5DxUhj5MWc6JntehCHLZAKc79QYBSkTP+P5nSlZlhHEGd2GQV6UuH6KIgqMwhRBEJAkkau7U57bmvBqz2e9aRLGKU1T4/YwIC0L/CijZakIosDZtsnETygoqZsquiJxoW3xkfUmhiaz1LRYrOm0bI2mpbBQUxn4ES/uTei5IdMgZeBHx6whcxaghqHSsXTqhsosTJBFkb1ZwKWuU0VuBI7LieA1+lpLrhyOezUMD7yqN+Hk4XHFMcmLksdWGm9JnO+drIN74bSB+RTfK5g7eI13MNcfdI3da1zDUGlZKmc7NaIsQxKFY1YyBI61DBRJpGbISKJM7ah8ZR5wOJjGpFnOl17cZ6WhUddklls6DbMqgzzTrvHEepPFmk5+lIno1nSKsuTyUg1ZAlWR2B/FuElKkhZ0HINxEFcK8Tsznrk95uruFEmq9khVqaLlAgLjMCHLCpYaOkM/Q6TkpUOXvUmAH6Zc7tYoCygKgcNZxPVDj2VbJUwhLEpaNQ33SHBMROB8u4ahyTRMie1JwFJNR5IE2rbKLM5oGxpjL+bCgsM4TJEoCZJK/+FzF7s8slrj/KLNRr3G7ZHPuY6JG2R8e3vCHz+7y/40Ym8aHB++6qbKesumZkjUTZVvbY4Ikgw3Thl7CXuzgDAukCSBsZ9y7XBGkhcVC+FRlUHDUJlGCRM/4ambAyxFvoNc4uRvf7/yzzdjR7zfdW81kHMyS3aKCqcHg+8RvF0BqAc5MNxrzP6kihY/uzXBUORjo70zDvj6rQFlWbEOnVuwqesqApUgzXrTgBKe3R4RJinPbo9ZPdJJeGS5ccx3PG9WmgYJDUslyQsahsIoqB4b+lUjkyKKnG3bLNV1LnRNlpsGax2by12HlaaJqcos1nRkUWDoxfS9iKgoaNd0Bm7MR880iLMq0h6lKUGck2Q5WyOfF3Zn/NkrBzy3N4MSlm0dx1RwNAU/yUnSnOEsJiuqXoutgc9wFiPJIo+t1Vhs6SiAG+WEac7ITwjjnCjNEUWRWZxya+QjCgKqLLE/DlAFkRLYHfmM/YS1to2X5Dy87LA/CakZCi1T4aMbLRYcg4dXquYwQ5FZaxqEeY4ArDVNRAHiNKdtqzy0UufhlSZQRYZKwNLkKlMQZUyjhP4RW8Q8mjgJ5pG74rikDHgdw9CcvnbucNw9z5qmesyXfQer0VHzcVLc32DPm+TnfSzvdB3cC6d9C6f4XoEqi9RV3lXBzPvhJPvMHH6SVerqqszZBRtTlXhspXEcCJprGSiySJqVxHmlgdJ3Y272PZICJLGyTauOjqVpXFmtca5j4kUpC7aBoytYuoIoCbQsjTivstefu9TlfLfGJ860SZKcJM1YcHQWHAWEAktVeKXn4sYZogCqILI/DqhbCoasMPCqoNQszjBViZGbIJYlvWlEmGbkOSRZztqCxaVFC12V2Jv6VVDET/Az8MKEkRshSSJlWbLcMpFlgfWGyd9cH/CXrxzy/N6EKM05nEY4qowkiazUdTYHHoookuUVU5MoidQtjc89tMRnLnRQZIHHV+vYhsrNgYcbpJQCDP0YW5VJj4J/qw2T8ws1Pnuxyzduj5gECV+/Nar2SaWilFZk2GjZ5EWBJAp849aI4dHPOGeMk0WRZ7bGlGXJ3iy4Z/XBSVHVuw+Jd9vdB51XbzWQ875nyT6AOC3M+h7BvRhcTuJ+7C33u+7kIp2PmUeUK3EymMXwQ0s2vVnEasM8jgzrikRelDyx0apESqSqh6AAZkGKG6d0LI1bfR9FFRjOEuqL1evvjAKCNGNnFKDLEl6U4SYZFzoWfT+uVDMtBUqBLCt5tTfD9zPKQkBVRZq2znPbY/YnEXGWVa8z8qu6UF0iTAsGs4hpkLLWMHjlwKVlK7y4O+VMy6QsYX8UkAsCtwZTGobOztBDFwQKSqZhRphU0ZSGoRKlGckRq9JHN9q0bQVZFNBkgZ1xhKZKdCUBsTQ59CIsQ8GURBKxoKYpqIJIkRfsjXxMTcZSZZIyZ6NjIUlwrm1xtmMxcCMeXauzNfAwVYmpn9KyK8agiZ9RUqJIEkM/pmXqTKOEsZsS5TlZVuAYEi2romYVypIFx2AwrZQ+p35G29EIjpqG55kAQahyzPWjsq+3ywQ0p7aDKvN097x6IwPfNNWKOeuuXpc3Gv9m97wfTnsNTvFhxXxu24rw5oPfBA+8xu7KLJ68Ns2rHrLlhomlyyRHTtvctiRZwf4kwNJUSqFEEErSrGDThezQ49HVJq2azujI6e3PEmytosLWlYyeG3KhbRAmOec6FnVDJS0KVusmN3oupQBXlmo07UoszI0yru5OEEXo2iqm4iCLYtW/NavsTykIWJqCbcgoCiw3bK4duqiqxIKpUTNF2nUd388wdJlVXcPUJGZxhi6JhGklQFnTZSxNYhak9KcBAz9l6qfsuhVBRzqLKMySQipZNHTCOCctcgoBem5Ew1SQRJHeJORP3UMcS0IXJdq2xsE0IswyzrVsru5OkBRYaejc7HsM/JjzC7Vj7YLntsbomsjtvsujqw12RyENW0OVBC5utPCTjCuLDlf3JuiKgJtUzrVlaFiqzKsHM64s1TiYRjy0VGdnFIDAcVPxyTnyIAxDDzqv3ur+825kyT5sOD0YfI/gQRfL3c7P3dfdi4LspBPnxxmvHsxQBOjoEKclZ7vm8ViAZcdg4SiqoMoq3VoloDILMg6mAUt1E8eUqZkKe6OQ7YmHY8o8fXvIJEiI00ocbMUxkGRQgIEfY6sKkyBhvW2SpSUv7E8QEVEUkBChKNmZeDiawo2+R91Q2J/OmHgJszhltWkSpDGDWcw4StBUkY+sOnzphUOahsbOJKwEvUqRw1nI+VaNWZhxrl2VBN0cuJSArShsdExkVSSIM7IcFFUizlLapg1iiR/l7I1DEOFj63UcXaUUBQxFZL1t8pAmkSNQ5gXX+0fqnUoVJXvybJvtkcdG2+ZM2+aZnRHLjsHtgY9jarx84CLLHuc7NRQ5qaL1Usn2OEQSFWZRxfwQJRl1s6IcbdpV6leWJNp2FXEZzEKipCArjmpIFehYOg1DZRImVZPx0aZ+P5XsuzEJEkpRuu8GYKmv9Szczwm/e45e6joP7Oy/E/rSU3q8U3xYMZ/bkzR/x/d60DXWPSo7mQeU5uu5aarsjgOmUcLFBeee606Vq0MDhCCU1DUV16+ys2lZIskCbVtj5EdIosTlpRoHbohYwu40wlQkJlHBZy92GAYJtwceTVPj6t6QJCvw45T1psVHN1qMvJgwy/nEmRbPb0+ZCgIfX2+xNfUpc4ELCxa3RwGLNZ3LSw5rTQNdEdnsBSiywKKjc65tc3m5xsuHM/anIYuOTt1QkBWRJC+YhBmqBF6cs1A38OOMUhC5uj9jfxzQdSxWahoHboKpCKRlSVNWOAxjHE3BjVPSrMBPUwoBQGTkRxiqyiQUOdMxudn3sTQJN8h4MZmy1rZBgL1JhCBCNM3YGfm0bJ26KdPUVcocHlut06hpCHnJzsjjylL9DvrRJzZa7E1c4DVWonkf4s4o4PH1BnvTgJEfU9OrvWXRea2seB5MnFOZ3i8A80bz6p0Ebd6NLNmHDacHg1PcgTdzfk7qG8wdspMR3v1JgCQKlGVBTYW1pg7FawxDjq4SpFmVthNeY0CqGyo3ex6aLJEVBY8sN0iygigpKIuSr7zaY2scoIoCSVrQbeiUZYkkysgqPNStMw0Sxn7VRLzsmHRtndvDAJICSRTRJBlKEVkS+ehanYEf85G1RiVrT4EsClxeqnGj7yEJQhXtEUUWGwZ+WPFXz6IURZG4vOQw8WJUWWAWp8yiFFkSSbKMpaaOJovsTUJGYcyCBR9ZrvP4aoNXDl2WHI2+lyDLItsjH0utuLU1VSQvK7q9tZZJWhR88/YATaoe10UJyxI5GPtcWHC42fd46uaAOC9ZdlSCNCdMMoRSIPYzygI2OhUXddMyyIoSXVHo1jT2xiFunNGSFS52a5iazP4sIIpzpkLFT71Q1/GTnEVHJysLluyKLm4SJOxPQ4QS2o6GIor3NOgnD5FTPyIrqqiMl5b3deL9JKNuqOzNAuqGes95ePccfa+0Ct5JtuEUp/ggYz63bV16z15zvm5PZgkXHZ1xkDAJUwSBY2dxznG/MwqOGdNUsbKfnZrGVEyQJAFbgfNtm6alcjALSTPo1jXquoobVTTVXUtBliUalkwUl2iiSN+PuN33ScucmZ9RsxQ0WeSF3QlxlnGjH9DSFZYbBqWgca3n0rA1NE3g0IupGzIusFTTONuxUUSRiZsiAIokYJoyNw49dschWVoyCxOyomDipfhJymNrdXZ397iw6nCr76MKJYomM4sSGpZGlCYsWBaWnGGoCm1bI4gTFjWDcZhgajKvDsfULB2hLFElkXbNRBKr8qGdcUjDVLi6O+GTZ1ssNU12RwEPLdc422xw4EYcTiN2xyEv77ksNAzOtkwudGucXbAwFZmX9iZoskxvFlE3VTZHHnVDrUQ+4+IOViLrqDRprVWRgdRNlTApKk2HE/SidxNbzGlODaUa86B2/TRo8+7i9Ij0AcJ70Uh5El6U8cKRmvEcb1af1zQrQRXzRKZgTiUHHLMPLNd1NBlkSSTIju4vwCxM8OP8uKE1zSt9A0UUWWroKKJEzahoyfwk47GVBlGek+Q5siDiJRnrCza2ppCVBSM/xNEVzrZtNto247Bik5hFCcvNKqNwMI0I4oJJGFZMRraGF+VEWcHeJGSxpiGIAmeaBnFW8nc/skycVU3ItyYBG02TH7zcIaMkzgrqhsLH1xs4hsIkzJiFCcuNilbvs5cWubxYwzFUrh9OkUSJpgb/8Icv4iUZeV7wwt6UIs/ZHnqIwPX+jCTJiZOclq2yPwuYhQn/19NbXN2esT+tommaISIJ8NByjTTLud5z2Rr6fHtzyCsHHiBQ5CVFUbDWtll0VIIkQ1dEDFWkUzOQpep3P/SiY7GYP3/1gOe3J1VTdFnRvV7vzShLgbMdi/WmdWzgLVVm4Ef0pzE3hy4H44iBX6ljnmQUgtdqiK/3quY0P3vzev35/DvTsu87D9+vZuDTXoNTfFjxfs7tu9dz01RZsDU6tn4cZFBkkYEb8+rhlOu9GRM/4X+/sE+W51zbdwnSjIapsGLC2YWqn2DsVXboYFzZuPkBZBpnCCWESUnTVmiaKlGc0TBlWpbGpa6FKojsTEKiNOObt8a8clDZ4Z4XI0sC6y0dypJCLHE0maGfsj8NuN7z+PLVA671ZjiGQttUSfOSmZfw3PYYN0jouyFxVjALM5K0IIgyLi5Y/MAylV6PHzGIU2RR4HOXl6npMh/baDOLU0ShKlHt1jRsXWMWJ3x8o4UXpRhH0frLiw6tmkpJiaOp9L2Y9ZbOy3szaobENEqJ4xzHUCgBU1UQhBJFFmlaGqJYkiUZjiEjy0LFDuhFdGo6eVHy6EoDSiqmwaM93E9SgqNtfu7oz5uZFVlktVFVAZxdsPGTauBcL+lkGeo4qLSTwjR7S/b9jfaEJCvYGQXsjIN3vcH47fpgH3TmpNOMwQcIb/XU+05PyZsjj2mQ8ow34vvOd+5ZOnQ3VFk85q1fsPVjoz1vAJ07dLYioIkwCzM22jWSompsSrOCmwOfBVs7FiuZG5HlukmUeJSlwMt7UyRZJM8KylJgo2nTsTNUSUSRJGQJhkGChICuV+/bUmVsTaYoSi4uOdSNKoPhBSmOLvHwSoudUcCNvkcQF+xNQ9Isp1vTcJOCq7tTzi5a7E4jfuThJf7m+oCPrta5uFDDS1IMRSZSc+qGQpjndBs6Q7/i8VdlgZISoSj5wctd/vylQ9YbFnlRsiTD/jTiYFo50WUp8PxOxUUdJDk1VeHpzSHff2GBvWmApSv8n9/c4lbPJc5KzrYs0qLgTKPGJEioKRJb4xBNFRn0EiRRYuTHhEmOpogs1k0EAdY7Ni/vzXhp3+UHLi1gatXv15uGlEVJkFYsSF6cM5glhFnGj1xZou9FvHowY6lusuTo7EwCujUd05KPI/pjLcE2TfanAQu5zsibcq5Tu0PNeF5DXDdUVKHEegBrc3L+3Y+b+lTN+BSn+PDg7vWsyhWf/kk0TZX9aYBjqNRNlVt9D1WCvUnI+XYNRRIJ4oq5qD+LcJOCmqqQCQU7w5C9SYShiWw0LVRJpKRAkWVMReZ6f0aYlpxpahSCwKEXEmU5UZLzzcGEJUfH9StBNUUR2BsHbLQs1ls6LUvl2e0xrpcwCzNuD0eoR1Sk55dqSLLA+U6NpzcHpGnJJE4wVInNUUDXMciKAk2ReXnfRQIuLtocuAm6JPLoSp3+LOSjGy2GXsWItDuNqJkymixRUNKxdLKy5BPnOnzzxpDLSzWirGQ48SiAGwcenZrGlilzqWvT92OePNNgqWFy7cBjqa4jyVAWAroqUdMrlfs5DXkU5Ty9OaSuK+iqzOPrDUrhiAEqrxjk0rzAiyodg4WafpwRTrKCzZF3tD++VvI5Lx1LsyOmqRNlqJYqM/Ci42ve7hyC18qL0qyg78XV4Ud6d/eOt+uDfdAzHKehrw8Q3mok9J1GTs+0bPKiZLGuvyWWlrlzOD/5n8wizFOCqiwSF2CoEnuz4I7Ij6PLTKPkqElZfI2CVBRRJIEbBzP2pgFZXlCKVTNWzVJ48mybC0s1lps6WV4J1DQNjYsLDklW8PLelCyv2COmYYJQwnLT5HNXlviBK10EQaDvx0z8jJwCCbB1BT/OkAUYBynfujWmLAXKvORzlxdYqRsglkcbRcZKXUcUBMoSetMYW1dJ8oyxHzMLC7Ky5G9uDkAUONOxuLxUw0/hj5/dYewnSIi0LJWMnKaps2TrTOOMuq4xDRN+6GIXz0/w/ZQsLzEUgb4f4UYp1w5cDiYRV/dmiILIcBaz3KjqdOuGgqVLqIpAnGaoisDYT44ZNzb7fhWdKeBMx6akJEoLxl5CmBTEec7OOODq3oRv3RqxMw55eW/K7ZFXcVUfaQk0TRVTlfnkuQ5tW+Wx9QZhluEG1cHQUuXjMiKAulbN0ZM813D/iMkHPZJyilOc4juPuR3woozDI9aiiwsOsiSQpgUisD8NeWSpzkbXYrluUj+ihr49DHjlwOPq3oz+LGJr4DOLEiZughtnGKrERtuGEjZHPmFSkuYZSVHgxQlpViIJAkGacX7BJkoyznYt2jWV24ceUZJzve9xcEQ1mhXVe00LaOkqaS5wa+ijCSKfONMhp2SpbjEME7qmSsPQWLB0tkc+C06lBzCLEp7uw3CW8PH1Jmc7FreGPqIosj8KidKSnpegCQJhnJEUlUZNlufUTZmyLPn+C20UUWQWJYRFSZQVCGXJOEqJoxJNFfmxx5boWiZFDqooMvFTTEWmaWikWU7L1llrWjy0UpWSAmR5ydBP8IKUoRdjHR0a5v0h06gqEZbEOx30zZGHocjHfsL8OT/JXqOfvct/udu3eCc4KZx2MgP1buLt+mAfdArs04zBBwhvh83lnZw2bV3m+8533lLd9L3Sf/drALXkO5WPz7RsoKq5nNcmIlQlJ12n0iQI0xwvTdFkif1JyJNnWtwceHRtnSDNqGsqgzxiEqQgiDQsBT/JmAQFoyBi4CZESc7+LOB23+fJs21mYcLuMGRr7COUEKUp5xo2aVogiSXLDYsoKbjW8yiLkomfsLbmYKsaigyyIPLiXp8sL+kHKQ85Bkla0jBVXt6bUeRK1SwtCnTrBnFSsDsNaZkK0yDh+gRW7QRTV1lrGmyOA5ZqJiUlWSbRyQr2ZwFnF0w2hwGOpdGKUzRDxvcTgrRgq+9Tt1R0WUSWRQxV5uyijSIJfPyMRpxk3BoGrDcNSqGkoeucXbA527G5fuAyiWLSYXGHjL0bJAyDlNVGxeF9OI14ZrOSre97Cec7JrosIQjCMYMUvFb3Of/NLy05fPPWgOk05eu3BnzqJf/LCwABAABJREFUXOd4UwizDEOQud4L8RJ4cW/GhcU6kyCh78XHdahzvNNIyilz0ClO8cHGg6zRuR243puR5iXbAx+EirWsYlRLUGQJROGYxtoPJeoqaJpC/9CFvGTgVa8R+glemeJ4CkuOxt4kpCwruuaigE+eXaBb1xl6MZockxsqkiLi+wl/+6OrjIOUQzcgzUtcP2PghfSnAVkpMvYT0rJEEQVWGyZWmGBrEsMgQRFFTEXiZm9Gt65TNzSWGxqH04g0K9kZhTyx1uArNwb0I3hxf8py06QAyqJEFEUWmxq7owixgFmSs6QrCJS4UU6Ww/VDj0uLNeK0oAirvoamqlAzFdwooyxKcqFSIx67Cf1ZwsAPkQWRbqGz3DCQFChyKKVKKwLAkGUQYiQJ8lTAzapeumNaT6Eik6gbKtlR03qSFZRC1ScgiyJhmr1O6fhkr9a9tAtOZhXeiR1/o9d5t/B2fbAPetb79GDwPY6TE/RBDXaSFYRpdixbPr/PyUU9bzatGzKTKKNuHtWtU9VImqpMEGdcO3SJkhzblHlsuYEhS+iSjJ9nnHGs6lDg6LyyP+PKskOQVTzXnVqEnuT4ccpXr/W4sGDj6BrLjZIwzhgEMRKwOw5omSqTKKJlKrQMhcjRSNICXRUZuAmCkHA4CygLiRIRXRWJs5KGIaDJIruzgOWGzks7M1ZaOoYi8kOXF/nSC3s0bBVDkSiLko+s1qlpKl+/PUASqjS3LAmMIljISs7YKoIkIQJekhOlKUkucOhHOJrC12+Nqsa5mkLL1mgU4KkKu7OQuiZjahJxXNCpqSCWnG3a1EyZh5cafOPWgDAr8NOcR1bqmKrESt1kEiTousSSalSbqpsQxiWqJKBKErYuYekKrZpGGGY4loytK0giFT+3KvHR9RbAHXRzJ+fHgq1zbqHGzb6LLAg8szU6ZhZ5bKXB5sjDDWNeGMFGmBw3rQlCedzncJKRZN6rMM8a3E1r90bzszeL7nngOMUpTvHBwL3W6EmigklYlX8okoipyjy/O0UBplHKoRtWujeiQE1VaNpVyUrPjcjSlI4OoiEfO6M1XSbJcgQE+l5MGBdsjgI6dkHdkLBUmfOmychPeHSlQd1QWXIMvnF7QJ4VbCyYLDdMHl5WeelgghtkvJxMWK6b7I9DWnWNrq2R5DlCAZou8tnVDt/cHOFHGS+5U148mCHJ4AYJLV3hZt8/Eu4sK0ahNGOjbfB0BgdujCiItGsaCFXG3dZVXD8l12SUVOL8gkXLVJhEVfmSIypIooCjyYwlgTjNCbMcN0tZMA1AQJJhuWESFTlhlGHJKpoqsFI3EIBrhy55CUt1jaalkqYl+xMPWRCwFIVxlhAEOa1llWlY6RqcaVm0agodS6djq+QFXO95tGsGpiozDRI6Nf1tBWtOkpM8qAP9ZoyKp3hwnB4MTnGMB+USvh9v/Jyx6IXdCYYMez70vZhOrWpcTYuCLIWpULLaNEnzgiwvuDnwONexuLo3YRLESKJAw1QQBIEriw6vHM5Yb5n0ZhFXFh22hlX0aMkxePXQRaTkW+GEiwsWUZrz0HKDtKwyG46usjnw0GQZQ5EwFZmtsY8XpWwOAnRRojeLGHopjiFwrmOhSAKaJDAJY6xcQRMkdkchhiYzCVKitOSpWwO2R1W5k66rLNZVRm5K34tpWir704gryw7PbI7QJWhYMn6UkRUlS3WdzSyg56akWdX0JUgClxcsaoaCo6sIYokmCzRqBitNg82hR2+WsNowifOcjqVxOA2ZhCJ1XWW1ZR6xBcV4YYapSfRnEbeGLllWsjsNaZsqogB7kxkLlkbT0cjKgo2mwVrbJspyrnQdXunNuNi1UKTXhOnGRxH+k3WavVnE/iREUQQeWqqzVDeO58bhNGKtVdHUpkXBzjjEUiErOM4cTY8cgL0wPHYS5uVmJ5uY7/X/+xr8E9zop9mDU5zig4GTa/Fe+gXzvWdz5JHmVV/Zgq0xjRIMSaQUSrK8JC8KdFXiSsfmYBqQpiXXezMQIE0zBhE80dCxlIoK1NYkFEnmhb0J8kBAQSBJc8ZuxOVuB0GAZ7bHXGhX+88TGy22hh75kbBje7VOw1DpzyK2hz5xUlAzFAazmLql0puEWLrCI8t14jxjrWFx4CYs1c2KlKJpIInw0v6MWCgZ+zFRUdDQVD6yXicrc+K0ZOan2BpVSa6mYGkyli6zYKl8fXNEU5fxkpIgztkbB2QY9CYRQglDL+Z8x6RUJRxTpabKjIKUohS5NnB5qOtgqRJJXqCqAucWbERRQBOrbPC3bo8ZuPFxNtlUZA6jiPWWSd+LkEsJPxUQkNkaBsiCgJdU9NznukvHv6GXgp+kOLlW0ZaWlfDcwI0wlErX4Ikj/YP72fGT5T9vtdTmg163/92E093yewQPUrv9IHVv87KheXPS3deHaYauSLhRTlmCgFCxE8giHVs/Zr0ZBwndms5Ky+DJsy0cQ2GtZbJgGyiKwJmWzWJN59ntESWVSvJay2Rr6PP09oir2xP+8tV9LnctFFniiTMNDmYhXpxzs+cBcLHjECYZUZqxOfC43ve43ncZuBEv77nEaU6UVweIR1frbDR1LEPi8qKDIkssHUVTDt0IVRYREXA0ha2hxyu7M0ZeTJrmNGwZL8lJy4IwLtgahtiKjCgInGub2CrUNBnTkNmfRVWvgSAiiSJRXtGLGpLIha7DYysNWraCG1U82pe7dWRRwItzZmHC4TTgyqJD26yoU68duryyN8NUZSZhih+l/MW1Q9K05JmtEWUpsDUOKEqYxglpXrLoaNQNFVuXWHQMZFFkd+IjIxwfdrww46mbPfpHyqR3M4UAFctUnB03kHdreqVaqsg8sdFCEUUGfkQUFSAImBJ86lwLW3+tiXkaJYz85JjV6u55eL//3w8nVZffjsrxKU5xincfJ9fi3crocCcb2VwFHQHSrCTKM862bXRNxFZV1o7s8pJjEGYFdfM15XQKeHZnwo3+jKGXkOdVaWiSFSzVNNYXLCxdpGlrHHohI68SPnvlwGXsRzy7NeLWwGNzGFIKAkM3ZhIkvLQ/ZXMY0vcjzjVqPLrSYBImHLoxYzehKEt+5MoShibR0AQOpgGfvdjlyorDpUUHWYCsKAmyHFUSqRkKaVoShDkv7k9YbBoUJay3a9T1SqXej1NeOXRxNIXdSYQklBRlwchLubo9xdJU4qxAlUT6swRLlrFVhW7D4FLXwksSlmyN20OPsZ/y7b0JfphRAAumzvY04ObAo2FKKKLA3iTkG7fGPL8zoWvrXO+7hHFGTVN4ZKlBUZast00aNYXVusGnL1ZNylTERZUatCShHEXqFVmsyCdMlZ4bIYkCmyPvDe34/LluTX/LLFlvt24/yQqmCad9bSdwmjF4H/B+RDIf5DT9oKm3+42bHxp2RwFDERZNWK7rLJzYAB5babA3C44ZjR5ZbjAOElRR5PpgRpjmfGStRVYU3B56XOu56JLED17poogi4yAmiHJe7fs8tFhjEmb85EdWeeVgRpjlUIr0/YpK01CGnG1b7M9CRn6CF+dcWXKwNJnLSzabAx9JgoahESYZ602LUgAvzvjsxS7Pbo+ZxDFlWZJkOZ862yKmIE1yslIgLXIkSaCuqaiKyI2+S15AkmYM8pJxFNOxqgiZc9S0q4giLVvhet+lFim4SYJQCERZwfbIY+GISjVOSv78lUM+ebbNyE8QhEoV09RkNgcBliGxPQzQFAE3SQjiDEsReMGNOLdgc3VvwoUFm8NphCTB/jhkuW6gqbDWsDA0idWGyYt7E6ZJxjRIGc4SLFNm4qdsDT1sTeGlQ4+H15qvYwqZG9Hz7UonYWvosT0SaFka1hFt3q1BtQlkZcG5tkV4xIp0sk+lU9NR5OQ4M3GvtXFyrt1r3t19zXzMqe7AKU7xwcDd9d53/303G9m8PEiRBJbrFj03YrVhUhbQ92PWmhav9Dw+vtE4diSFUsErIHZTxm7C9ijkoGFgyDJhkaOIcLlr48U60yBFLAVuT3yiOKNl68R5wdbYg1KgU9MIkhQvztge+2RZwcSLEQSBV3tTmqaGJovIooCsiCiqwI2ex82Bx+bAY61psTcNWKob3Br4pAKVvTM14gLyAlbrGqNApC5oHIxDlvSq9FZRJL5+c0yS53RsnTBJWe9YOKpEXpYIpUDL1phFMWcXmmyPQgoBJlGCKkustEwmYcq6Y3LoxVxarOOGCSLw3O4ML0y5ypS6XlF+1zWZ9ZbFKEjZHAWsNg1ePZzhRhkjL0KRRBzL5pNn27x6OOPKosPGOZvukePuRRk3ZiEd/c79/qSAHVQaB3O2oXfqg7yb106ChKx4TbX5/cIHKcN9ejB4H/B+pLzeiZN0R/3nUe1f40Tz8LzmfD5OkUXatkpOJWjVm0XH43qziCQrmQRJRZ159Nz+JGDsJ2RZJTH/2EqDMMlpBRGOpqFIItMoYblpMg0Tug2VMMp58kyLvVnAzb7LxE0xdZm2qXB1Z0KW5WwOfVbqBnVTRZEydE3g4+sdXtyd0qip5DlsDzy6DZM4LYiKnJWazs2Bx94k4FbfZxKmrNRVJnHGpW6NW0MXXRZZrBsYmoylStw49IizgiwrCJOcWRJztm1zOEnISkjSnLPtGitNgTgpWG1ZuEHOFb3BOEhZcjRURUYAOrbC8zsTNFnkr17ts9aqKPYuLtZxo4QSuH7gIssClqrQsTX+/KVDxkFKlFbG/MKZFllR0rFU9vZCgiQjSDPOtByyAgxFZLPvUwIHw4AwyykEgZVSJ04zHlttkOYln7nQuSOyN8dxr0mWkWYFI7/ixt4bh/zgpS6bIw9JFBgHCZ8812Hqh+yq1Vy6PfYxFBlLk+ma+h3Zp7ezNu53zWmN6SlO8cHA3WvxQYQ0oaqLH7gRJRKKJLDUNMiSnC++sMflxRrP7Uz57KVqb2sZEmdtqJ1tcLPvszOI2B74WJbCxEt5fL1BXlTaOot1g5f2phxMQhxNZrGm0q2Z7E09+m5C342gLMkLgWsHLp2aytmOxfN7U7bHUCBQliWPr7QQpZI8KfnaQZ+ZX0BZkGU5nZqKUIKmiaw3LZZqBQuOydbAp6REU2QuLs0bnkVeBWq6xNiLmYYJ0zAlSXLW2iZulNI0VS4tObhRSpTkrDRNDscRSZJzoz9Dkxu0agKbg6o3wLGqzPCCo7DRMnlue4RKydNbY5brBnGW0zY10hw6tszZBZMryzJdW0WWhKqZumXQrRusOCZ/da2HJAjsTgLSsgoMdY9YhgxVYpxUysdzX2EuTjcOEhSpUqpWZfF1TcUn/Yu5ovIkTKDk+PDxnXSa54x5jfc5gPRBKoU6PRi8D3g/IpnvxEk6Wf+ZZCWCUDINE4IoZxZnxwv4xf0JaVpSNxRmYUKcVZRlLx/4LDtmJZTiR2R5edxYNK9brx/VnqZ5QcfWSYqCj6w1aVsaQz9m4EU4hoobpJxZsBEKgZqp8EpvhlCUTMIEURS4vGQjiyJLdZWem5LnBTVd4WzXpO+mLDc0TFWm7WhQaERZhq1I3Bh6yKLEJEqY+CmGKuCFOVsjH0eRuDkIsN2YIMkwlepAc7FTQ5ZFXtqfcjAK6fsxdUNBlCXWdJWiyFl0VIQprLUNhkFMWpRMg4Q0z/nYWoMwL9ho6Dy/N6VbM4jynGXH5DPn2zx1e8xKy2Rr5HO2bZGXBWc6FoYisVDXyNOCVl3jYJrQ8yJu9DxkSSBKC7ZGIWttE8qKes9UFRQBNkcBa02Dr98aEic5uiLh2ArRJCdNS3bHAQ8tO1zsOqx3rONDnxdlx5zUti4fq1wneUnDUFh0Kv5wS1fYmwWV1gWvjRdKlVEEX70+YMExGHnBMdPRyXl5d/Pxg2wCJ9fTBynqcopTnOL1uBez3f2e7zo60yDhhb0hDy/WeWKtxV9d6/H9Z1tcH/g8tlJnFiY0DZUX92bIIvyth5boOFP6sz38TGDsJZVS7zBgaxTwybMtVLESTJMQUBWBjY7N1jAgLeDF/RlpVlKWJeuiSKhK6LKMpomsOBqFAI4mkddNoGDB0nl+dwKFgCSVnOnYlciYqfPqwYz1esV69/CSg6lJaCIMg5hX+zM+vt4kK0uCJGXVhG7NIC8jOqWGIkGcFnxrZ0RLV/GjjIeXHUxNpqTkuc0xoyjBDSoxslcPXPKDkjDKsfWqFPbioo0kiOiyQMNc5Os3hjh5joDI5ZU6Yl4wDiJsTWLFMUAQuNB1mEUZILBQ13loqY6fZDy0UlUD1AyFNK+0AZSj7M/B2EcGnt2asNK0eGFvQk1VCOwMRRFJ0+ogsTsKGHgx+0pwzCY1b0YXKOnU9Dv6TOZlSd9Jp1mVReoq7/t+8UHKcJ8eDN4HfLdFMufOmqnKmDIoikjDULnen+GIEmle0ZMFcU6YFsd0Z0EGu6MITZaIsuzI2asYceZR6LnISbemc65jHzugDb1aJJQwDTPEsmB7FKAIIoVQoogiIz/BjRK2Jz7LjoEqS6w3bdK84MpSgyKfomoSHVvj4xsdtoYeL+/PEEqBnWHAJIgwNZX9SUiYFqhiQZbmjIqcy1aNPE9Za+j0vQSxhMNJTFHAQk1jHGa8kE652K2R5yU7s4jFmk7bVInKgrahoakiZZEhi1UN5o1Dn0M3oGPr2KpEIcGybfDczgQEgRf3p3xso8EkSBhGKcv1iklotWliqBJLdRM/LjAUkSQXyUqRhqYSZTln2iaWKiJJIjVNJi8EXt6f8PhKg3ZNQVcEdsYhFxdrPLM9ZuwmmIbExzYaOLrGxI/5xu0hBSW2JuPGKfuT8HhzfmZrhCQKXM9mLDdMmqZKp6azPwkJ0oyLXYe6qTINEhYs/Y5DBEDfjbjlQjtKibKSx9erzzmPEM2jS/cSzDv53L1wcj3N1U0/CFGXU5ziFK/HPBtwUthqjiQreHFvQpqXdCyN3izihb0JQVTw8uGUbl1nuakTJwWXFgQMRaFuqFzdm5CkGden8PzOhL6b0LIqtqCHVpqYqsTBNKLvxrywO+bhpTqWKnMQB5xtN9keBAzCmMks5hNnmlzvV+VAaw2dpq2zNw6wFQVVUSjKAkdXKEWRrqVx4IaYmkKYxTQMFUEQcQyFvXFIWuQ8vTNlvWnx0sGU1brJmQULcSQQ5wXf2BwzCzNUGYYhdJKchZpG09Dwayo3Dn3acsWeV9NyerP4KEsLflbQdyN0WUZXJFq2hufH7EYxWS4jCiIDP2bR1riwaLNYM/nc5Tb/v1cGnFmwuNSyuTF0cUyN2wOPsoR2zeCZeISminRMjbGXcv3IDqd5wSfPVUKoPTc6PtipsshG2+RPUmhaCj03QldEZnGGogh0FJ0gy6grKtM4YRZnOEekH3OiibkQ5rzPZJ4xmNOWntwjPqz4IPmFb+mI9Fu/9Vt88pOfpFar0e12+Xt/7+/xyiuv3DGmLEt+/dd/nZWVFQzD4Id/+Id54YUX7hgTxzG/+Iu/SKfTwbIsfuqnfoqdnZ07xozHY77whS9Qr9ep1+t84QtfYDKZ3DFma2uLv/t3/y6WZdHpdPilX/olkuS00fCN8HYEpObO2lzeXJHE4/6AjZaNIle0cqYmcWWxxsUFh46tYsqw2tRZbRp88lznaCMQ6Jygu1Rk8fiQcDiLjnmR92YBaV4cZRgKdscRPbeKyg/cmGEQceCFHE4j6oaGKAo8ulbVmwZphqHKLHdMHF1hoaGhyiIvH8wY+TF/9K0tXjxwudkLeHlvxtiLmfgJXUdl0TFpHgnGSBKkBVxerGGqMpIMqy2TmqHgRwm3ei5Xt8YgCDyxVonvnF2yWDpqvJqGCXuTmAMfvn5zzN40wJRlTFVCVSWuH7gV/3+UcqvvMfJivnV7zCuHM64fuGyNAiQqMZ/luo4hKxiqSJQXlMBay2C5afDoWoOLCw4f3Whzsetwrl0jLXNqmsbmOMBSZARB5OFlh5Gf0LA1bEOmbWoYmkLb1qjXVM52bDYWLBAEdFliaxS85mTXdfKiyuycbCI0NYm6obI58o7TxX0/IohzNkfeHfOopVWCcj94qXvctHaSiWTuMJwUzLv7uTfDB1045rsJp/b+FN8JvNEaHQcJSV7ixinTuMooL9V16qbMlSWH3XEApcDIT6hbFauaIoss1nVmYYoswq2hT5BkWIbIw6sNHEPmyY02Z1omaVpQ01U0RURVBS4u1o8IFHJGs4iaqdK2dX70kSUeWnawdBlZEviBS102FiyapowsiYyihPMdGwRomxphnKKLIkGSc+3Q5a+v9cmLnOe2Jrh+yq2+ixdlXN2f8tSNAbIkYikShirhhQm3ey69CCZhwgu7U/w0hwIeXXfQJJGPrNZoORoHI5/rBy5RnFJTJAxFpqZK6JJEFOfIisTlhRqSJLA19rjZc3l6e8xfvjqs9n3g7ILFgqPjJhnn2zZFXqAoEmlZsD30OJhG3Op5vNp3yfKCJC/ZmwUYinxs07s1/bgvDCCIM9paRTbyxEaLjZbN+bZF3VChrJjoFEnk4oLDlcUay3Xz2P4rsshy3WS1YbLo6Ni6fHz/yVGm4KRw6ruBUyHNN8Zb+pb/4i/+gl/4hV/ga1/7Gl/+8pfJsozPf/7z+L5/POa3f/u3+Tf/5t/wu7/7u3zjG99gaWmJH/uxH8N13eMxv/zLv8wf/dEf8Yd/+Id85StfwfM8fvInf5I8z4/H/MzP/AzPPvssX/ziF/niF7/Is88+yxe+8IXj5/M85+/8nb+D7/t85Stf4Q//8A/57//9v/Orv/qr7+T7+K7AO5nU92NqOXnPe93fUuWKXvKIxWd81COw6OiVg6jKPLLcYK1lYusyCzWduABZklhumMeLfblu0jBUdsYBL+5N8OOM3iziWm+GH2fHNGUrTtVLUDdUFusabVs5/v/DKw6yKJCnJZIssHiUbXjqxpDtkU9vGqJKAk1NZrVhcqZp89zOmP404ZntCbamokqwVDeomzK6JnOxa9GwVGqmiKUqvHI4Y38cM/JjDmYRTVvh4kKNJCu40LEpSoFhmHBj6BNGGc/sTLEUCT/IEYUSKBGpWHu89ChdaSrYusRHV+uUecnQTbjec3HDDEUUyHPoB1WkPkwykixndxqyOw242fe5NfKwVLkaj8CCo9OxdHaHIbeGHrcGLgM34frAZdHWEcSKDWkaZTQNBcfQeHylzpKpsdG0qJkytwceL+1NGXkpZxdsHl9t8qlzHQ7dEKEsGHgRqigSJJVQTUOveKxVUWQcJKw4JkGSseKYx5v9imMSpTkrzmvNygs1na4Jn73YoWmrLDo6DaO618lr56gblRL2fEN5UEd/Piff77TwhwGn9v4U3wm80RptmioLlkbLUjnTtGnoCo6h8v/62DqXl+o8utIgSqveMlWsNGdUUWQWpHRslTQHP0rJipJPn19grWFgKgrXD138NKftKNiagiKJfO7yIo4hUderIIWhyARpxjSOCZOC7aHPtzbH7I5C9mYBHUvn8bVmJZKZFcRpTpbnfPVaj2mUcXPgkpUlZV6yP4l4fncKQFqCJIIgCNw8dBn6Kbsjj25No2EoLDcMunULTYaBn0ApHvUdSOyMQuqGzHO7M8I4Z9+LcZMUL8swNJkzLRtdUbg1CdifBkRJRt1QuNR16Ng6hi5TkxX8JOWr13vIQM1Q0I/ouJ/dGXFhwaZjaYgItBwVQxOxdIVlR2fB0VBlgRXHJEwzZFHkWm9Gbxbhxxkv7k3YGQeYmowmw8VulSVea5qYukxZwjR6zVewdZm1lsla0zxuTr4XA9HcT0nzgmmYHDcwn8S9/JQH9Y2+E4x1H6bDxlsqJfriF794x9+/93u/R7fb5emnn+aHfuiHKMuSf/fv/h3/7J/9M/7+3//7APyX//JfWFxc5A/+4A/4R//oHzGdTvlP/+k/8V//63/lR3/0RwH4/d//fdbX1/nTP/1TfvzHf5yXXnqJL37xi3zta1/j+77v+wD4j//xP/LpT3+aV155hStXrvClL32JF198ke3tbVZWVgD41//6X/OzP/uz/MZv/AaO47zjL+eDindSb3e/OraTojPz9N481aeKIlf3Jsen+JOO2sna85MLexIkyMDuOGSlWfHWz43Dzijgxb0pWZ6TZSWlWNVFRnnI2ZaFqcukWYGhyMyihLqmYi5VgmhnWjabYw9H07h+OOLjGy1WWgYv7U7ZHvncPJzxsY0Wu2FMy1AI0py9acDIj+m5IWmaIwA/cqnLzixkbxxwYcFGV2WuLDuEccafPL/HpaPGNhGBpqmxWNdQBJHVlsHAj3ls1SFKc5YcnQM3om1p3Bx4tGwNXRVBEhh5JWM3RJE4EoCp0sejIGOtZTD0Y3RVoq7JdBs6/VmEKJREaUmrptKbREz8km9vjihyAVMTEUsBTZXYGXooqszQTRh4CVtDD1GElbrBQk1HEUWW6zKzKEZXRWxdRpZFwignLnPaNZU0KxlGCdPQ49GlJkt1A1OT2R74hFnBaBazVDer7E1WHqtZrjZMntkZVVGqPKdr68cc4KosMi4Kzi3YJMVrBvJedZxzytKkKF7XmAhVNsnW5eNypFO8tzi196d4r6HKIqYuoygiSVHc8f9FR+dwVrGuJWnB1tgnzXOu7kxp6DI9N2IcgRGmNEWZoZ/QtFXcIOPV3hRVkbnYsdmbJWiyxCzKuLTosD30kQURTZUwgLIUECnZn0bIosAr+1OmccJ63aDvxxUltyazPfK50ZsxdBOe3x/TtQ1MVeJcx2RnElIWsNGxWclz1hsm1/oej681GboxNVOl58c0DQVNFTlnGYz3YepFqJrKuZqFKIsogsDzuzNalsLOyOfCQo2DWcT5Vg3LlHBUlVd7MyZRTFGWNByd1YaNqQtYmswozKjrEi8fTImTnG/vVJpA28OIrZGPpkg4RsBKXefZ7TGtmsoPXlokjHOSsjq4O7qKn1QZ3Gv7Lopc9Qo4usosqkTjTFXAku+075ZaaRd0j3oE7vZVVLliLJqXjJ6083M/BcBA5np/RsfSaZjqHU3Nd/tBDypweYcfVOb3HfdW8EFqHn6neEdhtem0OhG3WpUy6q1btzg4OODzn//88RhN0/jc5z7HX//1XwPw9NNPk6bpHWNWVlZ47LHHjsf8zd/8DfV6/XiTAPj+7/9+6vX6HWMee+yx400C4Md//MeJ45inn376nXysDzzeSbnEfaM1J0Rn5vefp/qu7k2QRIGeG73udL858u5ZNtIwVTKqUiI/yV73WgglZSkwCmP2hiHP7065PXC5fugy8Ko68dtDjyDKmUYJpiqz3DBJikoH4fbIZ6FWOaSvHsyoqRJplrPYMsgpeeJMgyDJiLMURRS5tOiwWFfp1nSKskQQBbwoJctLDLlyPkduzNYo4HzXZmvkY4oCpSCQ5gVLRxHunXFIWRY0TJUff3yRi0s2/59Pn6FhqtimwtNbI1458DAUiSjJKBGYJVC3NHbGAUma8+3dCTklDy07fPRMnYdXHfw4J0xzTFWlYWhkWcEnzjURgI2WxcgLWaobLDkqpixSlvD87oSnN4dc688YuAlhWmDoEitNE4QSATjXdvjE2Q6XunXOdWyatkqWlnhxRt+PKDJIspIDLwTAjzPGQYyQV9GjvKwazfuziDQrkQWBF/YmjL2Y53bGjN2qNyFNc57ZGpFkxQPPz7vHzSMuliqflgN9AHFq70/xXqBy1qq9525bMLcZB9OQnVHAUzfGDL2Y64ceaVEwSaBb08jKHC9MiKKCW8OKNCNLCl46cGkYMpMo5bGVBst1kyfW23QcjeW6QcfSaFs6ozBhqa6xOfLJykqg7CvX+7y87yIg4ugSqy2DxbrFKIrZaFoUZcljKzU+cbZFURSEaY4kiGiKTJQXtEyV9bbJZy91UCWJWZjy3HbV6Lw/CRlFEOYleVbScBR2xwHf3p2wWFNRZYm//ZFlVlom/8cTqziGQplXWQhNktAkGVmGIKrY5yxFZhYm5EVOnBUs1g1qpspq3cSLUxxD4mzHAkqSpOSpGwMESSSIcuqmynrHQhErkczbw6qc82AcsTUOeH5nxrWey62hS02vCDwMVcS/a5v3k4y1lklWFPe15ffzH05WI4RpdtzsfLK09J77zD3E8+6F70Rm+cNUxvq2Q3FlWfIrv/Ir/MAP/ACPPfYYAAcHBwAsLi7eMXZxcZHNzc3jMaqq0mw2Xzdmfv3BwQHdbvd1r9ntdu8Yc/frNJtNVFU9HnM34jgmjuPjv2ezGQBpmpKm6YN98DfB/D7v1v3uBQFoGRKUOWn67px2m7qEUCg0dAmhzGkZEuMg54XdGecWTKZBxkbbRLjrNVccja1hwIqjHX/mJCsYzHwWdNDEElsR7vg+LEWgZShkapUqHKYpCAWyKAEFliwwdENUwItiGobBwdjH0KrshSKJ/J3HF/nzl/vEksDWwAMEHll1iOKc5brGVs/l0A2wVZlZGLPS0Hh4ySErSlqGwtXtMaMwoWHISGLJzsinPw3pNA1e2ZmhKxI7gU9dVxGFgq9eG6ArMA5y6rrEgqNj6wqOJjH0Yj51tsH//cwu/VmIIoIkCjy2UWeaxCghbPVnaJLI1d0x5xZqvLg95UzXRMxFDtyAb9we09Bl6npV2pSHJc9uTnhopcbmMOCR5TqyWNAwFRRZZG/ic3vHI1YkWnWDbl3BVmVkYDALUESYhClnOjpCkZPmBUGYcXvgggg7Q5+lpsHOMCBJC0xZ5GDiV2VcDY00q9LkOyMPS5GBAlmS8KKEpi5y4CZYikCS56w5Clsjn49tNOhPfbqO/rr5maYpWQF7I5eOY6HK4vE8TtKU/rSKtpRAlqZ0Hf2O65OsYBIkNB6Qbeitjn8v8V7YiDd77beK70Z7D++NzT+J9/O3fTfwnXz/b7YmTz4vlDl+nDOchVzs2qRHNqJhqrQMiVfzjDBOqWsieZax3DR5eXdKTa3s35mFGpQFkyDE9RNmUUKWl3QcnVt9j0+dbfC164esNPWK0tNSEEvozUKCKIKixI9SPrrucO3Ao8hzJmFJCjS6Fo+s1Bi5CYpY8AOXOnzz5phHVyz2pyFbA/9YvyZKEvZmMbsjj41OjTNtnSwvcIOYcVBRPPdmBXVDJi1hxVR4dK2BLQvsjl28JCVIRX7k4RX6s4ilhoEbJ4z9mNvjAKnMSSlJ84yihKEfkKY5hzOfmq7iuRHDMGWhobFkq6y3NF48iNgZJzy50SCME67tj2k5Go4o8PhKjTCKmRYF/WlAlueomszQDRn7ES1TJEmhLAo0scRUBC4s1NgeuGjinfPGVgSytKThaPSn/j1/93v5DychAGebRkUfC9RNlb4XMQsy1K5Ny5Dv2CdO+jEPOoffrTn/nfDL3gwP8t7fzud62weDf/yP/zHPPfccX/nKV173nCDceVwry/J1j92Nu8fca/zbGXMSv/Vbv8U//+f//HWPf+lLX8I07592ejv48pe//K7e7/3AtgdJDi9IsGzCtzOwZLiXn3X76N+sgP0ANBE0GZ792l+RFTA9KuWrq+Bn1bi8ADeBogRdgkkBiQzXnq+uD7KqNnNTruTWD8Lq9ZfN6t6GCH4AL4ygoUN/EywFrl6FYQxuDLYMt1+F/1FATYFcgDEwS6EfQlsD9uHlGQQpiGI17qYHSQGJCHt7EJcglVWKTZTgoQYoEuy4FePQ+TpYMcgRjAchf/3NEbYMcVI1MH/129tEgC3By9MpDQ12t2EUwSQCWYJUgWbWJy/g5gSivLq3IcOL7gAB6N+GpgoHPoQ+TFIQXTjrQC+uvoMcMCUQBNh8iWNBnUMPxik0VNiowdWt6vs6COBwGwa3wZCgpkKSwY1Z9d5rSvVZNRGCHCSga1S/DUAvq577i9vVtfWjgIl/13zxM/h//vyvkMXXxkA1N+ZlmbJ45zVZ8dp8mT9ff4CAzPyeDzr+/cD7YSOCIHhb13032nt4b23+SXy32//vxPt/szU5TSDOKnu1oEM/quzKt4+8lJOl28MQohR0pfr7m7crWzaKIb9xm+2b1Z6gybDpVvc8Y8OtA1Bl+G83QBbAVmHZgrZa2VIB2PVAlWDBgKwEOYVtH/wEmhrEKfzpwTUGERwGUABCDk8fVvYvK8CUq/uOhMqWhxls7Q15ToGWCmEJUVa9h1FUvY4hgz/scXXaQxBgOoM8BksLufXyhK2jvWbNrvbmzRkIRfV5oPpefQkCETZLWLfBTyt7en0AXQu++UK13ygSHGxvIYswiUGcwaUGPP/Mbb6aQphX7zMrqz3BlMFNqz1xQYN+DKUCk5uv/SayCH/yv798x14vi29s3+e4fZ85M7f/J6+Z+yVfk6rP+G7hu3nNvtF7fzs2/20dDH7xF3+R//k//yd/+Zd/ydra2vHjS0tLQBXdWV5ePn681+sdR3uWlpZIkoTxeHxHFKnX6/GZz3zmeMzh4eHrXrff799xn6eeeuqO58fjMWmavi6yNMc//af/lF/5lV85/ns2m7G+vs7nP//5d61GNU1TvvzlL/NjP/ZjKIryrtzz7eB+0Zm3Ekn14oytYcBG2ySIM/wkJ0xyLnbt+17bm0X4SSWy9eK3vs5nPvcj7E1TwiRHkqoa+Iap0ncj9qcRYz/BNhTqukLdkOl7MXFSkBYla00dWaoiyzvjgG/vTnF0hTgteHi9jipJXOzaXOvPeOr6iDNNHdtS2RtXzbhRUtC2qpp/L8woiqrEaK1lsTn0+OvrIx5brZGXAlaUMA1SHF1ltWEQpylf35oiU5IhMAsSGprCLM1ZqKl0TA1FFgkOpsRpycpGg8dNhW9ujvHijIEbgaHQlSWeub6PVtNRMtAMlaapsNKwGAcx5SRkrSXTMjU+fqbBtUOPvChZszIyQJclTFWkKOD8Uo08K/j4uQbbgwB9a4IoVGrAFxcdPmMpPLc9Zb1lUOQllqEw8WLyskASRPbdmNtDjyfWGnz24gII8PStEat+wnLTQEBgtWmQ5SWmKmLdGDCLcs51LM50LJ7bmRAlGW1L5SPrTeqmytYwYLmhkx5xj5eAenRiSPICVRLpOjppmvIn//vLfOIzP3icMXijOTl/bH5Pgaop/e1kDIAPVPbg/bQR84j5W8F3q72H98bmn8QHxf6/Xbzb7/+trMMkK7h+pMWS5SWfP9p3Tl47LynJ8hJBAFkUceOM6z2PiRtQ7N6muXwG01C5uGBT0xUuejFjL6Fb03jyXIsXdmdcP5yxO6n6FTZaBtMw5cmOxcRPeUIoGHopaw2DxbrB05sjsp0JgiCw3DR4fKWOrol869aE86rEJEiYBQkXJIlJGFMUAspRY3SS5vydh21e2Hfxo4SRn1IoEheaJpIIt4YeqhsTBTF+nKGsL+BYOltDn+UVmSumxkPLNv1JRM0IMVWRrmMQDQL0ZkqU5ti6CkWOqig8cabO7X5AWhTIgsiTCxaHk5DvO9/iyy/1WXYyhFlC3VB4eKWOpkCUlnzmYgtFlNkd+3z1+oiuKXF5yeHKsnO0/0YoooCmiggIpHmOG+WsNA2iJKduiDz3ta/wic/8IHuzBDfKuLxYY6GmH0f7geP9ofsmNfh32/+T15z0S2zt7cW2785O3WvOf5CzznM8yHp9Ozb/LX2rZVnyi7/4i/zRH/0Rf/7nf865c+fueP7cuXMsLS3x5S9/mSeeeAKAJEn4i7/4C/7Fv/gXADz55JMoisKXv/xlfvqnfxqA/f19rl69ym//9m8D8OlPf5rpdMrXv/51PvWpTwHw1FNPMZ1OjzeTT3/60/zGb/wG+/v7x5vSl770JTRN48knn7zn+9c0DU17veS1oijvuhH/TtzzrWAURpSihJeWLBrKmz5+LzQVhaZtAGDpBZPeDMfS3vDahbqEHCSoksjzBVzd81lpWZSiQMeqWAi+tT1l0dEpEfHSAlkuWG9ryJLIckNh4EcYioyfZnQ0hYapcmsYstawuDXwqJkqz23PeHyjSc9N6bkpSQn9MCcoUiRRQigldFVkwdEpKClLkYEXc30QMgkKXjqcUgC3BhGPr9bZGoUoskK3ZvD4RputkYfTC/DiFEOSWV01MVSZF3amSKKIpin03Zi6oVHqJZIsMQxyRFFCVQREMcULUhbbKms2xGblPEdpgZvkDIOEMw0bQ1UIk5yfeHyZ7UkEgsjmcMpyzcRSJVRJYOCnbLRMZl6Kbav85ctDarqCIIkMZzEXlxx0VeZgmvDk2Tbbo4Dz3RpjP6HTMNgdBZi6ysO2hqOp1HSZumXw8t6UawMPVZTYkGWeWG8dNxXLsoSuKdQNg4vLDkGc4RgalAKaplEKElf3XCRRoO+nPLrSwIsyrvdnValVTT9uEpvT2skirLRqr1sXisLrpOjn81QWpeO6zbdinE/e83D24HP+QfBuiai9Hzbirbzed7u9h/fW5r+X93838Ebz+N16/3fsN47+unV+52vCw6sK13ozHF0mKQRW27Xj5y1Dq1jzCoHdcYAuSyQF3OgHxGlBp2Hh7cOFpTo9LyZKSxo1iZqmsTeOuDbwWGnafGyjze405okNHUNT8ZKcxbrJ/jTh8fUGAzdCklRatsahm1TlpGJVMnp5xeHWIGQUxHQdjZt9l5apk2QlUGBpCpQQJgU3+h7rTYu4EPjbj6/w1PUBqpKwVNfRJYHrh+4Rw5tE01aJy4xHlut843ZlgyVRRBQgz0UURUZEwNQUREmibqsMejGXlxzyDNwkQxRFWoaBvaby1etDuo7C9UOPMMr4kxcOERCJc5H1tsXQjShL2JvEtCyNa/2AM02bnXFMBsyinLZjYGoaAz9ipWURphkdSyctCm4NPHRF5mY/YLlucHXXI8qg41iME5AVmVKQuD0Oj1XuTzb8Km9iN+9l/+fXnPRL3o152TraE+6e82/FV3q/8Ubr9e2s47d0MPiFX/gF/uAP/oD/8T/+B7Va7bi2s16vYxgGgiDwy7/8y/zmb/4mly5d4tKlS/zmb/4mpmnyMz/zM8dj/8E/+Af86q/+Ku12m1arxa/92q/x+OOPH7NWPPzww/zET/wEP/dzP8d/+A//AYB/+A//IT/5kz/JlStXAPj85z/PI488whe+8AX+5b/8l4xGI37t136Nn/u5nztlqOD+7EPzx+fCIW/k3CRZxUw0FyC71HXeVJlv3tTjKwJxAV1HJSsKLi44TIKEr1yvZNXDJEOWRZZrBpIC0yDhTKtisjnTtCsWJOc1LmNNkagBnzrX5pubQx7uOuRZyTNbI5qGiioKuFGCpYrkwHJDw41zCkrWGhZ/fnjIzb7H7b7E2bbJNE5BEPihKw28qGCtabA7Dhn6KU9vDqqm3DRnbxqjSyl1SyGOczZaBpah4MYJErDoGJha9Tm+vTumbio0S4Esy4+VexURLizW2Z1FDL0YCmgcqTGrE7ANjaGfUtMkBn6MJMA4zrhc0xgHCXlZNeUu2Bq9QxddEXHjlDwv6TZM4qwgL0rWWya3Bh4NU6E3i7iy6PDC/gRNlBBKOJhG6GrFwf3y3pQwyRj7KaZSsFjT2ZtVm22YFsSziNWmRZTmKFLFUtW0VFqWiqFJBEmGG8bIosxH1qpI8CRI6E1iemIlfmMesUwkWUF/Ft1RCjB//H6OiaXKXO/NqJvqsfry28W7rSj5YWKfeCOc2vsPN96Lefx21p6pypVQoq0f24i5wJUqilzdnSAhIFsCfT9mxVHZnxUs2irbEtiajCbLDIOEpVIgK3MmQUqc54RJxtbQpyxLbvQDLi2KNA2VKCvYaJtMgwRFEpkGPqZcRamv9zwEEZbqOn6cISCSFSUv77tYqsyL+1NW6xYHbshq08QLU0ZBQlmUjPyER1cd3ChnqWNimgrnmzalUPCtrTF5Aas1nYatslcEDN2EMx2HvbGPIop0bJWszOhYGoIMpigSJOWRCnKdNC/Iy5LtoU9NV9idBvTdiIap0DIV4jRnP44YjkKSDC50TCxVo7NSZ+BGqIqEF6XUDKUSFjVl2oFM06oy4mlWiZJSViKWfpKhliJCCYIk0KlpXN2b4GgCt91KyLKuv0ZeYgryMdX1WxHwOjlvTmaR58Jq3bfROHxyv3kQVqIPkhLxe423dDD49//+3wPwwz/8w3c8/nu/93v87M/+LAD/5J/8E8Iw5Od//ucZj8d83/d9H1/60peo1V47+f/bf/tvkWWZn/7pnyYMQ/7W3/pb/Of//J+RJOl4zH/7b/+NX/qlXzpms/ipn/opfvd3f/f4eUmS+OM//mN+/ud/ns9+9rMYhsHP/MzP8K/+1b96S1/AhxX3W4Tzx++lEHu3ozYOKoEZQSgfuNt+Tl+64mgsm9AwVBbq1vG9OjWVgZtUAluWXlGiSiIlAnuzgLqhMvAi1lqVkbY0uVJGLAWyvGCS5qw2TPphzCTKMBWRG0OPbk1nEqZ4UcHFZZuOpTPwIsZBws7EZxpkTIKUVUeiYStIksATZ1o8sd5hEiW8vDNjZuVsD11mkY4swyxKkQSIk4LDSci5rs3WJKSVVywSsiQyjVMuLdQoBDjXsXh+Z4qpVFmOWZgyDTPiDGxD4iHL4WASIQpwYdGhFEBXFbKsQNYl/DhDl0S2o4wzhslDyw6jIOV63yXLSqZJhqNItGoaTUvhcFbJyDu6hCQIjIOEhq7wtesDQGBz6CMJApIMwzChZaoczCIksTqYRVlOy1CZhAmvHMzo2BpRnnO2XQn3BHHGcsOo9CuykijLqRkyjq6yOfCQJZluvRKPm8+nLC/wooyBH7GsmPRmEdMoQRF4HWvFGzkmfpKRZiU3+9UGOaeeezvR+neiKHmv1/te2TBO7f2HG282j9+NzNiDrr35awVRxs2hj6NVBwE/eU0E0VBkvro1YhKmpEmOqUks1auM6EJNY38aoYrVwSDMSi7aNYSyCljsTnyW6waSLJAUOXtjH0tVGAcpYZ4jlFUWIslyJFEkKwpahnYUYLGZBhFhknO2bpFQQFliqzLXDmfUVBkvTXnybBOhFMhrGrMwZX8asNowCNIqCFYWkGY5miay2rS50LUxJjIfPdOkLHOu3676wuIkZ9nR8eKcgZuw1DToGDrFrOSF/SlJUlIWBa/2PNbqBqMwIS5ylFRkaxiQ5AW6KnO2Y/HDDy3yf39rh6duRnh5ip8UmJrM5W4NN064fugS5QW6LDD0EsqypFWrsjqyIHJ76GHrCp2jDHCaF9zqV495UYquKFzoWkRxTluDgZcgyTIrDeN4fq02Ktu9Mw4e2KlXZfF1h4NxkDDwIspSqETt7ppXbzZf795v5tffr1H4g6RE/F7jLZcSvRkEQeDXf/3X+fVf//X7jtF1nd/5nd/hd37nd+47ptVq8fu///tv+FobGxv8r//1v970Pb2feLfKDt5t3GtTuHvhNE2VNCuOKUwfJMI0px/bGgbIYkVbujsJGLgRdUOlYdgYSkSal4RJVkW19yasNlVWGiaToKImVUSRuqHSd2MahkJWFoRxjpdlJGmBo8l4WcbuOMGxVbw4Iy9zZFFm4qWIpUiUFRiyzKhIWHY0VEXgTMumKEpkWWJrHHCxm1AKIMnghQlBVrKoiNRMGXu9ycE0QqIkyUuubk+JspxX92ZsNC1yQaBdq1R/G5bM/jTG0lUOpxFDN2QWJVi6QlZAWcB6y8TSJOp65dSLksLUT1hvWzy81GB3ErLvhKR5jbqlIEnVBiUJAmlZ0DBkLi/UGIUpvWlEXgqVWrSf0vcyPrJaZ3MUsjUKEAWBWZigqyKPrdRZ75pEcclGXWdzEjIOE9ZbFlFe4OgaNwcueVlwdsEmPaKENZVK+Eco4ZWDGWfbJmlWsjsOeHSlQd+PONOyj7mjG4bCStsgzQs6tn6caTBVmZkfY91lbd7IMWmaKvtKgCNKd1DPvdfR+nu93vfKhnFq7z/ceLN5/F6utflrTeMEx5BQJOHYLoyPssmbI4+OrZEVBVZNw9IVFElgrWVy7dAlLWB41GfZNDUURSDNCm70PHRZwU9y8qKEElabJiDQthWyvGR3FHJ77FHXFIK0wFBE2qZK3VTYm0TsTxPSPOfGyCdKM863a2iqSJjlXDv06CgSYZyz3rJQBLgqCXxktYGtyyzXLVYbBi8dTJEQuNXzGQYRP3hlkcNpiJ/kbA8CNBF6boylKWxPIiQBRFT8MCOMQw4mHh1TZTuK2R77aKrI9X5Ky9a50HJYaeoUAtwe+NR0iSwrud7z0BSBCwsOu9OQuq7SqCnc6LsYmsyhG9MwVfbHEZomkaYle0HEo8sOtwYeS3UD4cgMzLM25zs2T2+OePJMi74XkeYSLUtirEPdkJnGBVO/+j3n2d7DWfSGTv0bzYk7/JG8gJL7qma/0Xz9bgrovN9+46ly0HcYH9Syg3ttCncvHFUW7xAJeZCFdaZlc703w1QEsqKK1twa+KRZianJ1E2V0hOIsoyNtkXfj7B1hbQosPXK8CRxUWkXKHKVrZBFntho8dfX+8iyyOqSwc2+h6MoCE4V2WgaCg27hhtV1FyvHs4YhQmun6AqIhttk4XcwA8yBn7MS/szPrre4GAakpUluiyRF2DJVZnO5UWbQRDzybNtbvY9rvVnZFlObxZxtu2w0tJ5eMnhm5sDFFHhK9f7LNYM9kYBYZrjRimyKEJZRcrTouCpWwOWagb746rpugSWGzpZVvLS4RRHU/mJx1b5m5tDVFHges8lyipBttWmzkLdYOAl+GnG/qQSZ7N0iUhWKQW4rsiEaca5tsXQTzi3WMNQJCRJYr1lEyQZm32PME3JMp1bA4+PrdZ5qTdjrWGy3qwyLUGc8erhjLV6pV55o++RlSXf3pnwiTNtNFUiyQseXWlU1LR+RJZXv9Mjy407DNq8HK1uvN7U3M8xmRvFiwtV6vpk2dv95uDdhvTdMqzfTZvJKU7xbuLdnPtvtj6bpnpkJ1QoQFGqNTu3EUl2FKyQZc53a6R5wcCNUWSBui7zTDxia+gTZBCmOQeey1rdwjEULi/WuJrOaDgKvWlMTo6tKdRNmaat4UYZcZ6jqHX605DVlkEQZfS9BFEUuD3wmQYJkzBm5EZstC32tYhHFh1MVebR5WrfifOCQy9iOIu4uOigKSJPbDQZ+imTIGEapnhJzo1BAJRcWIipGTKv7LmUlEQpdEURL8owFIn9aYilSFw79CmKHEtTKMqcy8sWy3WVZ7bG+EWGUxRcXnJomiq7Yx9dltFEmV034HAcsjOKyPKMxbrBWt3gz144pGNW6vNXVmtEYY5tKxiCBBpsqCY1Q+XsgkWQZKRZQd+NoYS1lskLexOWGwaTKKFT03n1cAZSxfxkqjJ+lrIz8WnZGopU/X5z5eKGrjzwfLqnP9J8QNGye+C7KaDzfvuNpweD7zA+6I7F3Qb6jSbhgyysuRM28GKmCZiaTE2XiZOC4KhGdKVugGDQrVWiYXPlZKi+r4EXVVkDSWS5bmKpMpMgoWbI9CcRLx1OWHUsvCijpCTOczYWbExZpm1rTIOE3iTk6u4MSxbQVIVxMEMUQRUkZmHVOCZJIqVQIiEwSVKudG3++uaQZdPkm7dG6KrE/iRiexiyNwkQBbiyVDnbjy473O4HlKXA2I9ZaVpc782QERElkQuLDrMwIYpTNBGe3ZzSsnVuRj5BkVEUsGjpSKLA/iTA0GVmckqRlaw2NA5nMXVdhrBkecEkpyBJCrKy5NqhS01VWG5YCELJmbZJnkPfDVlvmoRpyifONunWDAoRHltukOQFiigSpwWaLCMAEgK7bsSlBQddkdG1SiPi0A3JcgiyDLOU6dTUiiWjrtNzI5brJvuz4Fiu3lBlFOm16NB8I58781Wt6utLie43H6/1ZhhKZZruVfZ2rzl4tyG9l2F9r8uQTnGK72a8myV4b7Y+VVmsmktzmCYJhlAp4l7qOsfXQ6WGrkgiDUNlGiTM/PT/z95/9liSnun94C8invBx4viTtiqrukxbkt3kzIiSRmZGf8hAGmEX2BcLAQPoxb6VIEBfRd9hB1gI0hpo+cdqpZVmNJohOexms335qrTHxznh44mIfRGZ2VnVVdVNDls0nRfQKPRxmVXnMbe57uvi49WSoqqxhEqgwCzKadsm66wglSVdx+L2Vk2QFoxXKSPfRFUVirKmbRrcHPjcs3TmYcYbmz7/7bMxo5ZJ1xUcLBO+e6XNu3Xj7mvoTXf6OEiwhWDgGhwEKTdGHvM4h1LB0JvEZ7tjEsaSNJM8XkSMVylFVdGyNKZBzsdHAS1DkBQ1QZIiNAhlia6CZ+iIrtPQj3KJVECmBR1HEMYlbdfkas/lo5OAoyCh61p8fLRis2WiaWCbGjoKSVGCqpJJGIcpDydrNBWO8oo3drq8sd3ieJVwfxLS6jvIGqKsZKOtNTMOp8PGQZKfd27Pujd7vc/VCWVRcCSa72cR5vRdk5qmy5DLUyqYEMTyK1wCv+D6e/b1v+qq+18Hv+q48TIx+Jrx6xJYvGiT/DIy04tDQQB5WbNOG95enEm22g4PJiHUzRzB2RAzgGeJ84Nm22+cjfd63rmiDcCd8Yo4barwkyglSkvCtOS1kc/jo4ggyXF0g55nIBSVRBas05K2obFKc1qWDrVClBY4vsr3t/tI4Ds7XRxLcH8SQQ0P5gnbbYcP9pf4js40ztFUBU0BXdVQlZqkqOl5gn//V4/xbZOWpbHdt1hHGUPP5uEs5NrAOZ8xsA3BvRT6rqSqK3a6Ni3LY5UWvDZqMYlzAplDrYAK0zhjtk4xDY1aUdjq27R1g2mUMY1zxouUgWcSJgXfvtrhe9f6xIXk7nFIVkj2FzFpUXK8yhCaxtt7PfKyYhqmPJ7G3J+GdF2DpJIoNYw8i62eja6p2LrgySIiTCRCU9nrNt+DUDRub7ZQKhXX1kikxFI03n08Y+BarFPJO1d75+sqTCU/fDjFEhpXey4j3yJJM2TVSM1FYfFCrunilEp2NrAGX+2QfPY1X4Uqd4lLXOLrwfNoIF+2P88eO7sPHEOcDx4/nocolYIuFO5NQt7a6eDogv++P8HQVCyhcrVvE57AtYHNIqo4CVJ2ejY9z8A2VD45WdM2NVZZQVkqLJMctVZxTEHPNRGawl/dn6PRuLu/c6XHa6MWaVnzf/l7t3m0CHk0ifjR/RnUcDiPmFsqN/sekzhns+U0sbNS83gW4pk6UR6SFjVtS3C0rOnYBtf6NuN1RlxUlEXNw1mIqjSeA52qokYjySXbHZs4r8hkTV02CUWcltxdNVQhTVHJZclWy+VoEeEYgvcPl3z/2oCyrqhqhe/u9Xgyj5iFOg8mIZbeqNy9telR1hX785gHs5AwL9mfJlimYB6mKArkZcntjTY7HQdd/XwA+FnomkrXshAqHC0bBsAqlVwfeudzIo4h2J/H7Pac8+/9orDJ1xG4f9XzPpcVQd78+esiJParjht/s9KoS/zCuLhJLuIXtfE+qwifJRzTsOGZozReBbc3PFzBOSfwre0Ojqmx1/POf5fxKuVklXJ3vCLOSj44XFKUjXbw2c+4M14hVBVdV7jW99jq2HRdg+2OjWVp+LaOrmrcn4aYQuXJMiTJK671bCxT5Vu7fUa+hWXCVttkr+fy9tU+f/f2BgPfomMZlGVJVpQMvUbV4daGjyVUdAVapk7H0VCVijAvUaqKT49WpEXJ/DQZ0GoV09CZrBO2OhZVXWHrOsNWU5kSClSKSq00G15V4bt7XRxL55PDFWFWkhQFhqpiGwolNUkmma4zDmcJWVny7pOAyTJh2DJ5MosQmoIpBON1yvE8RdcUTF2QFTVhURKlBbIs+fRoxVEQs4oL7o4DqrpZCwIFKoVRy2Kr7bDXbWYFFmFOXFaYhiCvGm+C41VMxzEZtA3SosLSVXRNYavjIKnZ7TlE+eeVoEfzkDSXHAXNwX926K/zZlbh0+M1j2cRd8arL1w0XcfAMcR5pRC+mn39s6953nt+myzrL3GJX2c8u9e+yv48e8yzmv3vGALXEPzw4ZSPD1bcm6359KQ5ew8WMbGU7PUcqqrCtwUtS0cDFqHENAQ18HCW4Fs6LUfntZFPCXiGxqNZ4ytwf77mySzi06MVjycRjqFytEpwdYMkLwnygo6t82QeY2ga66T57EezCFPXqCv48/szsqJkEqUcBHHTRdUFi7hR6KFquhUbbZPDZczBIuNbO12EotCyNaqqIswqpISNro0mVLY7LrKqGbYs8rIklZKWIahrqGQj8DCLmzmEWZJxa8NnEmW8OmwxCzNUpane7/Va/ONv73J7s8XNkYdSq7y91UXX1cbkbJWxSnJcoXJz5NKxm3urbQtsvZEOz2VD7T276x/NQ4K44N3H86YLcuHOvtp3cEyNt7Y7UDf3v2sIHEPwztUejvG5bOkkzM4FQi7GE1/XGnwRlnF+Tnu+RIPLjsE3BC+quv6imenFROPiUNCo1XzWJCiJZNNE0IVK1zPoekZjGpI0r0XhfDh1fxGz0baeevzueEVe1qh1Sb9lEqQ5V3se1E1gvNf1aJsG/zU7RlVUHk0jBq7Jg3nI0LH4B69t8dk4IMk41YRW6bsWszDjZJ3y1naHR/OQaZixiHMsofKHt0css4JRS+fOOGSdSZJEMotyllnOjZHHra0W7z0J6LoGaVkR5QVRKum1TNKsZK/nk5USx9BwejaLEzAcg72eS5BKpqsMTdOYrVMsoXESJCi1BbXCeJ1yre/xZBGSFeC7gv95d0qcFmSqwpWew+tX2qwj2SRkUcY8yrja9cjLAtvUUNQayxQ8nEZ0HIlraMyijJFv8f5+wLW+yyzJ2Wk1alFH9xMmQcrtrRYdV2fkW/iW3nynwFbbJS0kbcviYRIhS43XtzvomkpcSII4p2MZnKzS80tg1LLpe+b5ejhDXYNva6xTyZZhf6Ga83VWSn7VVZhLXOKbgr/uXruonmfpKllZ0zd0rg1dDmYJmgZUYJuCTd8iLSugRlNg2DZA0cg8E1to/PndKessp2ObbPgmf/lgSs81OApStjWVRZwxC3MezkK22i7XRx6zMMMQGmqt8LODgKQo6Ll2M4ugKvyN6z1kWTNeNZ3Qe+MIVVNom4IahWmYYuoahtCa6rusOAoSNFSCJOcHHx7RsQ2ezCMGbYewKKhNEKrC92/0eTwLeW3DZ7zKkWWFBozDjH7LIi1KhFBJ04KHSdNtuDtZs9mysA2NGxstPjgIMISgpma8ShFCpaxr+q6JpObvXO/xyUlTTPNMnYFv8daVHn92d8rNURvPaboWLcvi3cfzputbSLq2QZxLwkRybeQ29KLTBEBWjSLUm9uNx0C+qs6TBl2oGELFs5o18YsIm/yia+jL0HGMc6GUSzS4TAy+IfhlB0XPSoldHAo6WaXkp0GlQnNonFUC7oxXp3Qf2VRTaogLSctsAlFdqLiGOG8lUzSV6Ok6Y7JKScsSDYVVXnEYxAw8C8/SWaxzvLZFlJVM1xl1pSKpudH3+PN7U1qWyV7fQgiFySqlVuFHD2bYpso6KXBMgaer3JmG+LaOpSloqkbHUogziWkKrrs2bVPHMnV6nsk6zllGOTvdz1vligqrJGWZNgH5Ii5IJPze1Q4qGooKqqEzCRK2ew6ZDHmr22V/HvHB0YQbPY+7JysGvommVoxck8TQiQrJTtthp+sQJAWGmtG2BQeLGKEqnCxiKrWZl+h4jaJQrEksSyWICzQVxkHGRtsmzAp2ey5CU1imGZ8crCmrGiFU/tG3thm1LO6MV0SpJJES21DZ7HhM1ykVUNcN2TRIc+KsRGgqh6sYWxd8eLBEVxWKuua1rfb5emg7Bl0LXtvyySvlXOGi6xhf0Cq/qEbym8gPvcQlLvGL44yaWhQVqLDlO2z5ThOAVhWzOGUxbs6GfstiLSWyqNnq2wxtmAQ5Q9/h9e02+4uYo2XMo3nM1V4T2G/6FserlOvDFqskPx2O1eh6JqauMNRN0lxyEMTMQhVTF6iKyixM2O3aaBp4hoFraFQaHEwThKqw0bUpyxLPMjlaxoRpha1l5FVFVkhubvhM1wmuodExTOarlBujFssw5/bQ5+PlgpMgR9Ni8lJBURXSXKIoUKPgmYLPjpeUKLza8ZhWNbs9j7IqqcoaW9cYti1+dhDg6BpJUXC8TFhmknWSY+kaoV5xpePw4cEaSU2SVbRdwZZv87ODJVVd89HxkttDn457ese7De3nnas9Hs1DClmjCwVdaXwOgjRHKHAUf07HyWV1Xiw8K/Q9q+z28wqbfF0whErb4PKeuYDLxOASvxAuJhrPU5iQRUHb4NSjgHMK0xnX0DJUlkmBIRTatkFAzsCzzpMCoTTV6IFr0XEMPjkKCIucTd8hlSU2Gu3TTkVLF4RqgalrTJMEKgiSnCQvSPOSW5stbF3w9l6PB+OIHz2eYOsKN4c+jxcFvq0T5RUZDT9+GRWnWs8e96chtzZaDFsGLVPHtjUW64SskICCLppAeRbm1FSESckibobf8iLHEgqRhDsnIa+MWgxdizuTNUPXIAhzXhn6HCwiKqDn6hyvU75/Y0iQNH4DqqbS1QW5tHlrt41SKzyZR7hmw+N0LJ0oKUipiGLJyLeQdY2iNPKow5ZNmOYsk5JrAxtUjZ5tMI8zHs0iOp6g3zZwhM5228LVBR8dLonzkrQo2ek6JIWECtK8JJMljqYxjVJ8y0AXFQPXxDUEHxwuEYrCZ8drTEvj7njFwLOYhBldqzl8PVOcOzF6pwZo+/OYSZhRygrt1FRHF+qvbB7gN3lo7RKX+Drwv3JPLOKco2XC/emarmXyxk6b3Z7D/jzmx/en3D1qgtqdro0tVJZxARXIuiKW4Oga41VKmBXc3vC5O14RpAWKorCOC4Ztk3/+9i6fjVckloZlaHS7Np5toFLz2XhNJisWq5xhx6RjKIzXBXsDl0lYoCkqj2YRb221ud71yLMKU9dwTZ2iau6Fq32bJ/MUlJokLxCqwmcnK97a6ZCXJbKsMQ0VKcE2dUQBywyGKtw7WTFs2Xz4ZIkQgjCTKEBe6tQ1lLJkERXc2PLpeSa2IZisUxTg/iTG1FTmUU7HafGzoyWLMCcra/7mjR6DWPJwFhMnOZKa64NW08ZV4JWBx08eL9n2LcIiZyQsbgxbfHC4pOsY53OA83DJTs8hlpJc1siqYhE3IhvLOMe1zaeGxZ8X9D+7ni67ub9euLz1fovwMp7ei567+Hgum2Gk/UX8Uq7fs5/17PyCceoYKdRGlShImmpw12mk6CxDpW0adCz93LPgja0Ou12HySrlYB5xfxwSpyUPJiF/fm9MmpVs+i5lVfO7ewPe2OpADcerhDCXaJrGT/cX1BUYhoYuFFZpQVrWLCKJqTdujX9xf0JVQSahrGu6tsGDaUTLVFG1mtc3fLbbFjttg6ys2GpbnKwSXFNg6Cq+oRMXNW9s+dze9nh9q81klbLOCt5/ssAyNHzTJIgyXtv2MXQNQ2taxGHaGIk5us7jRUzXNZgEKYYQCEVBQaXnNqoS87jA0BRKWXGyitnu2Gy1HZJKgqKQ5CVCBUtTCYvGZXm34yBUFYFClEuWacH+ImTYsrg2cHlnb8g/+84uN7d8FnHBIil4NE0Yeia7HYe2Y/Lu/pxFmPHpccBGy0KeehrEUhIXFYUsScqmi5PkkoFnMfIt8qpit+fgmIJhy0CrmySwKCvmp5rWL1pHRVmhKDW1WiPLRv7UPVWl+lVUkF40j3OJS3xT8b9yTzR7vqY89bo547kXZUWaNV2EUcvi5shH1jWaopwKLBTYGgihcLSKmYQJf/lgyl7PY9gyCXNJUkgMobLZcfgnb+3yxkYbW9Moygrf0nkwT5Cypi5rfEfgGYJlInGEyvEyYbdjEadN4SipJKOWRdfRKcoSTQVZwjxMyGXNXt8jKyp0XQMUHEMwWaVc6TTDx1lW8SRIMHWYhDktHSQ11/otEllS1RDnksfzNamUhEmT6NzY8NloWygojNoWqSyRVc2obXNzw8UQCm9eaZNkBUlesogaqdGTVX5Key2QdQ2KwnSVsIwbqmxRVvz+zQFd16RjWdwZB/zpnROkLPn4KCCIC6Jc8jdeGeDoDWW0Y+kMXIsN32iSMrMp9rjG5/f+8+ZJnreeftE5g7P3hal86v1f5fPO5LS/7Ed+HTMQv8647Bj8FuFlPL0XPffsBr3odPwyR+RnFScO5jHTsAnozirBsoLHsxjL0M/lzfaXMZqqUBgVbaup+Ouaen5oBFlOUUKQpoR5ziLKKcoaU9e42nXpeAbLOG8C1VOlIk1TifKMXJasooIN32LTNxvN/0xyFCT88EHKf/tkzI3NFuvxmu/vjWj7Bmle8X1H5//76Zjfv97nW3t9joKYv7w/Y53k2IYOdU1e1MR5Rl7WvLrp0jItBr7B+/tLbu/4/D/f3afrG8RFwesbLqpW8/FBgKaArYGGSpLX7A087k3W7LRdZuuMEpivstNh4kayL8nLRk1iGjFoGwRpzr1JjKKoJEXBKil4Y9Pn+sjjp/sBQ8egrKFSKl7f8EFRUBSVRZJSVDXzOOPNnW6jBLFOiVNJ19GJsgIpYbzOibOa/SBir+tysEzouSZFXfHGqPElGHoWji7oefo5Bexg2dCHFtrn1SC9o1IB0yDjYBGz03Hoe02H4Fnlh7N1pIvPZWnvjlfksmYZ5+z2nPMD+Uyy9utUsTjDr1oq7hKX+HXD170nLtKHdF2lbRn0PQuFmrZtnDuou4aGY2jsdpzG9NExsDSVN/fajHyd5BFYuqBrG3x8FPDK0OPHxyuiosQ3dWxDwxJNkSjKJZsdm89OApIEdK3i1U2Xk1XK7aHHp9MVWV6z2bF4MgvZ7ruYQrA3cPjkaEXi6fxsf8k0zJhHjcqcrWlQ11i6YBGmqJqCUBVKKuKsxLc0DhYpninYn0d8e6fNMpXYhkZNU0xZZwWWpqJpKo8nKzZ9m/Eq42/dGuHoGkPXRFNVfvJkTl018qJlBQfziBsjn7d22pyczjh4js627/DJ8YofPZyw2/GwTBVb09F0lZNlSldoTeIla/YXMa6l8/FBwCRKKUtwTY2+bxCm8lxM4kxaVjeac3i2Tijr5r7XhX7e9X80D58SkoCmK38UxLRN46kZtJfFLy/rWJ2979E8pG0bL5WsfhaLOCcvqy+V0v6mKdpddgx+i/CyKfwXPXfx8a5jMPRMBp71XJnHMxWhs2rumfEUNJr3hax5NA/P3xdJsA2V8TpFqCrvPp7jmYLjIDl//9nPPgsAt32HTJZYqoaj69we+ZhC5ZWhR7elowAPZyF1Beu84Frf4/eu9bnatdFUhZFvMPAsLEPw9tUeG76NUFU+O1yR5BVH85jvvzLEtARbbYfbmz7jdTPg9e5+wMNJyORUetXSBYs4o2UbrLOCsqyJkpwgqfjoeMH/+GzCw0nITx/MabkGaVpzc+Cz27OoqprjVUqQFmSyMTLb7lhUVUnH0Dlax6inlwjULOOMK12PV4Yemx2Lz44CLEMnzirmYUaY5DyahTxZxPRdA1VXuTsO6blN5abnmRia4O40IshytjoWVzouHdtg07fPv7+jZcIHh0ssvfn7q5rC4TxmGeVkRcXDecRez6FlNxfKnfHqPNm7PvT43WsDbm/6FHXTPh+v06c8MFxdsIwzgjSjrmoOljEDt3FBflb54WztjVrWuRrJoGVhCAWUz1WpokzyaB4+pWLxdeKrqCBd4hLfJHzde+JM2e7BbM3RMuFgGdNzDW5tNupEKGDrgnmS45k6k6i5K8JM8sZOh1Hb4vbIP1fC04XGTs9lf5mwTkvGq4yqrhm2TDRV4y/uT1lGOdMoZdO30TWF6wOPNK/YajnEZcUyKvAdA0NT2em5VEXze2ZVRd+zOJzFpKVkf5Egy5onixRVg4NlyirOubnR4tbIY+CaKIpClElSWVKjMAszNtomJ6uUoW/SMgSeAWlWchimrDKJrqm8sdOhrlQ8U+Mv7065Nw75qycLPjlZYWlaY+pWSITSJBXTKOXDwxV3DkPiXHJz0OKVDZeaCkVReDBZseEbXN9o0TYbie9XN1v8/q0hYVYQpjlhKrk+bCS3t7s2V3sOlAqyqihOmQVnZ7d72hW2TZVEQkXNu4/nCLW5988kZy/ibE4hlvLc7O5iXHExHngRK+Eizn6XvZ73VIzzVVSJuqffr/slJfJvmqLdZcfgtwgv4+m96LlnH784EPTsUGhRNu3cKJdfMJ66aHpy9t5MwiqRvLXd4XDVqA49HEfIqmK2apyN9dOLZhE31f2DRcxm22YZ5liWxl7fY6vnMF6l7HU9Pj1ZMfQtFlHOTsdp5hAMi4FnMYsLhp5FrSkcL1J+8miBrGuyomS7ayM0lasDl6FvsdWx0dWGxx6kkuNlgmzBe08WFLLhXKLUqMCd8ZqBa6BoGrapcRw0lfInQUyUS1aZRKHiatel5WpERUmYFlDVaKrCzS7c2vDQdI0f3Zvy8cmKYcui4wgsy2J6d46qavQ9gxsbHu89XnASFpysC1qmxqtbTRfg1qjFdJ1yFCSYqsI0lShxxe3NFkHSDJjFRUlWVNw93ufmRoubI584K3k4XbBKMg6ChNc2OgzbJl1pcBImDFsWVV3jmzqeqbFMc97a7vLB0ZJ1VHCySvm9a4OnKvZ7PY9HfG5yc1bx+9mjJY+WIT27Mf55Z697OlD+dKv5RRWgUcs6P4Avehrs9bzzn/9NOZwvcYlvCs6U7dqmQZDl7PQcirJi6FmN+7kueDAJ2fZt/tudCQPX5L39Bb+71+fRPETXVB5OQz5bgh7EZBVYukLLFJwEGX3XoOUIdrsO60SyTjP+/Y8fsdFxeHOrza1Nn8+OV3w2XnOySDB0DRSFsq5o2zpFVDNPEyQmfUcj1uF3rnRB1bg5dPn4cI0iFP7nZ1OO1gll6bE7cPn2lS6H85j9RYIpFFxDp+cKZOnw/uECShCayt+5NaCa3CP2TVaTAlcXHC9jXt3y2fBNHs0K1lnOkzmMfJuuZXC0TnBMnXma4+kqqZTomoahKRwsY6K84K3dDrc3fN7a7fCnn07Ybtncm8REKVRVyWbb4vrAYx7lWEKjKJtClWUKvrfXp23r7C9jLFE2Xj/TdVPMOY0Zlqf39mdHIR0dllHBTt+lKKtG9W8RQt2c92fn/LOxwlnQfxZXAF8wtbzYsXrZfMIZWwG+uiHrGe35y173TegUnOEyMfiG4qsMk41XjTfB0DPPaR0XN+eZ6sDZZ7y53Tl/b0P3Of1ZVXVuatZt5RRVxTrLmUYqvtUEea4h+Ox4Rdc1kFWFY9q07YayMj510P30ZMXIt1jHBZbROCweLiL+fD1pquaOySTKGHgWjxcxcVagCwXP1MnKClPTEELhxw9n9Fydb+10OVllTIIE09DRFFiEGYu0GTCrqQhiSZBkaLVC5SkoSPYGLlUJPd/EUVXuT2Jmccr39rq0HZP//OERB4tGfeK71/qsH57Qcw1WaUVZKaiKwsiz+IM3NqGCeZgyCXJuDl1cS0Bdk+aSdSoZeW2KsubvvzriaJEyiTIUVA4WCZMoZeRadF0LSDnRFfquw/EqwbV10qxmEWdIWfF4FnN3vG5mGeqAnjukrGqudFwmYcorAw9UhZYlkLKhCQlVYRo1Und3xytqFGRZcRw0Khw3Rz6eJc4r+3FWsshSVAVUFf7Gtf65jvUnhwvyEoI4p+vZL2zNXjyAzxKAnY5zKnV3eVxd4hK/jbiobHfxnjk7J55MI5K8IEgLtnoW8yBjEqZMwpR5lHOwTCilJCjgKEjxHJOBbaIpzXkyCTN6bhPkmprG3ZOQRSQpypqhY1BUFT3HoJINNce1DCxd4UrHoeOaRLlkERWYQuNoVSJlxf0y5ts7XYSq8/qOxsE8Jjqd91onOWVZUlPTdQ2u9h3qsubVrRbfuzbgRw+n3DleMc8KbF0gtEacYXvoYRs6P3owxTMFh8uEd673SIuS3a5Lv61T1wpCaTqtHx4sCLOcJBXkVcnQtVCpECpERcl7j+Z8chQQ55KOI4iKElNoTNaNUWaal/z48ZysqHhl6GKKplO/DAsso2LgmVwfeARJTpxJ1ml5fm5HmWSV5szDnLat8WkJb1/tkFfK+XcHsEwKHDN/Kni/GCucvfaMgXDGXrhIXbt4L5yJVRSyeqqQ+WW4FJX46ri8aX+L8aKNcBbI2bo4V4B57mZRQFHqcyv0i5vzjEJ0pk/8LDqOQcuAti2ekiu9OfDR1ZCiqiiKmv/xZMI/enOLySolyQtsofHadptlkp9LnXUdgx89nLHXc0hySa3UjJcZUVGwDAuOV007WFMlOx2L+9OQzZbBXCjsdmw+OgpIs4pErfjRvRkqKseWzmTdWLfbjsZubaGoYBs6sq45WqVstyxircQxNJKixEgKpFTJx2v6nk3b1dntNUY0mqjpOgbJqZLPk2UjpXqta/HeffjwaMXQsxi0DXThc6XvomsqKLDRsjgJMmRdM11nnARZo7ZkauwvIl7Z8LgzXnG8SPn4aIWuaeSyoKpVWkbJg3nIMmx0urc7Nq/vtDlZJ3Qsg45rUMhGirTn6TyeJ/iuwU8ezUmk5NaozRs7bRxdcHPkA/DDB1OEqmAbGt+52qOmpu0Y6KrKNEoZr1KStOTxLObv3BpxuIrJi4ons4g3tzrUCux1PfKqOne4HK9SouLz9XHJ47/EJS7xZTg7J/KqZJlIdro2tzZ9Hk8iorLgz+9OifIC39TpuzqbNlzpOKCo6ELh71/f5DCI2eza/Pj+gkeziN2uzfWNFlfKio2WRdcz0FUNVHh9u/FyQa3xdME8yqmVmkVUIBT4+DCk5ahEaYWuglJBv21gqzpB2shCl1QoKNw5XtNxDJQa1knO7Q2fV7c7RJnE0FRe32lzvG4kUCerlAdr+Adti8m6Ud9bxg3NyDVUXtnw6Fomr221+NnBkp8dzKkVlbyuqKnR1JpNy2CR5Lyx3WayTpGVwoNljK2qHC4TLF1DBQZ+4xckNAXP1jmYJyRFSVGWvHOlx8EiJZYFm17jR6CrKgPPIhaSMI2Yhik3bZ+fHq9JZEHPMbFNk+stMDSVKC8Zr1M6dkPrPSsevggXPSsuFoteWKF/Ji55EZ43GxllkmmYfmHu4WXv+ybiMjH4LcXF4B/4wsDxGUXDEMYLh2ou0jqexYtae2ef7+kKfavhPdZwXnF2jcbcyjMFf/5wysDV+Yv7U4aeyTKRdN1m8PTxPCLMJDsdm89OVji6xoNZiK0LMlny8eGSKwOH17d9dvs2vtUYqJ0EKbc3PT7aX5FXNe89XpDJimmcstmy2Rt2OA4jhp7Bdtuioua1DZ8olYRpycEyYrxqHCtPwhRDERQywzZUHMtgnWQ4huBgGRHEgpNlQpQXZEXNh0crvnuli6apvHO1S9cxEZrKozXsJQWuYXC953CkClQN7hyv6bo6J6sUR9f48GiFoamksqRj6Siqwu3NFuNlgix1lmlO7+yiLGp6LYHQFPanEXkJYSb5mzeG6EIlLcpGhzrKudb3+J1rfaDpvjxehPzs8YK2bnKyTtA12NpqqvLvP1lwtIrxdAPf0bk59JtW/unwb9tuPBJ++mSOoWi8+2TOTtfhJwcL9voO4pnOEQAK9FwD36Bx8nzm4D1ThiiqCl1tWrvPG3L/svX+TT/ML3GJ3xR82TBplEmeTCOE3hhZ6kKlYxtc6XtcH3jUdc1PnywJkwJZl2y3bLquQduAmxse7x2sWKYFj+cRvq1zuGioNR1LY+Ab/MGrm+fnzDhI+Yv7U7692yHOJZvYjFomf/V4xmSdE2YllqWAqjBsCw6mKUIodGwTSYVvmHx4tMTRdTq2QQWUVYVt6ExXOeMwBUVhkeSskpzxOiXJSjRV4bWtNq4liLOcSQqHQcK1gYOsKwapTs+12F+kSFlxbx5ysExYpQWgMYsSXCEIU0lalQgUDKGyv0x4Y6tNWpR0HZ0PDwN2ug7zJKeQFfuLkJHn4Hd0rg1cbo9a3D0JKeqaj08CBp5FIWtmUc7HhwEoTaFP15pIfLJOWaeSNJfcm0XQV9jpWkQSDoKY/UVKy2o4+Re7QGfdgLPv+3ky51+lWPSyuOTZdfQsHWkafj738LKB5LOZvBcWTX/LcZkY/JbiYvB/0XwMnqZonL32eZvsq8ws5LLio6MlRVETe5JYSoSicpwXyKo5UBZJSVFVUCscLDJMXePToxW2qRLEkreudIlzyaBlMmhZoDTt4CAu+PBgwWbb4miZ4JsG9+drVBRcR1DVYJkau12XWZQRZyXXB80lsghz/urhnBqVJK/Y67lc6TnERUXXNgHIyprrfY/rI48kk/xf//IBi6gxgomyAgGsi0aJwTF0eo7gtW2PDw5WXOk6PFnEqHnJeJlQKVWjNBTl/O1bA+6drPFMnVUiERpkZckyzahrg56nc7hOmSzndGyLnmMyWxX4lsJhkGAbgrats9GzCMMC19EJYokhNAxVJUwlMSVRJvnOXodVKInzghujFnEhWYeSaZhxfxziOzpCVbk2aPiculB5faODoWnMw4y0kCzjgoezEF2oHMxjjhcJ253GX+JsWPhusKIoanRdYeBaXBt6LMKC3VMu8Fu7bR5MQjY7NmEqz43KDNG0vJWq5MBr1s3JKUXtrBW8iHMmYcYizug6Jvrp2vp5ugpfJYm4TB4ucYn/Nfiyvfay/XoWwM3jFFCZhzmepTPyTYaexf48Ji3KxijM1ChVFU1VGK8SxknjnVPKmgeTNW1TZ25qHAQxNwYuQpzObF34PT84XKKpCj95PMcUGnFegFIzcC2UWqEoa1whGPk2DyYhJRW2quOZAt81OV4n9DyTcZCw1bNopQJD1chlU2iydUGaVVhdjY+PAjTgpwcr/ua1LqoqSPOC++MIFYizihtDB8sUpLkkSEpMVfDhbElV1piGQCiQlRV/+NomD8cRJ+sUVagEWU7XbvjyT+Yh/6fvXWWZFDyex8SZpGPqrOuCihpLbxKklqWTZhV7Q5cH4xClbgpMeSZJi5IHs5COY7I3cPnu6bzYeJVi6RpBnVNXNVVVk5cl6xxWscTWdcK0wDU+nyd7HkPhYB7zYLbmer/F9ZH3lXn8X/V1z6MjnVOav2Qg+Wx9fpOUiC7iMjH4LcWz/OyLeHZjnQX4z2b0F/Gig/5sA62yEl1vgsn9ecxGSyeSZ26CJXWtYGgKb253+PRkhWOoVLnGcNioICk1fHqyomMZ6ELlat/mbiFRFJPDRYquagRpwdC3GLZNrtct5nHKZJmxCHOkrJmFGcKA710d8Pp2h1Uqma6Tc7nMoqxQajgJUgpZkcmSrmlwZMa8+2BBnJUUBViWwrZnMw0zzLqk6zj0XQPLFCzCnIGnc7JOaVs698drXKOp3OdVwbVRD8cQ3NjwCbMCpWzazXlRk+QV+8s1r214aIrC3WnE1Cqo65oKhZ8eLOiYBr2Wia5CkpRcGzjYhsHjeczJOqbr6Gia0iR+wuLhSUjLMfnd6332lym6piIUhXVaIDSVdVowdA3+8v6UvmtwvGoSrF7LpK5rikqgKxJTb7S8bUtj2LJxTY3gtEMwXWfM45y+e9oaBnyrkXoduhZRIZmuU3Z7LkFccBI0XYSztfUFnLaCi7LxzSiqio6l03F0dFV96iB/2YF8cU1+lSTimyY5d4lL/KrwZXvtebzys3vlLIDTVZWHsxChKihA225MtoKo4DBoVGxSWXK141KrFY/HEXkNcSHJysYATRcKni0YeQ66aDqWq6gRudifN/4sVHXDwbcFj+YxXdtAR2VZNudJTc2DaURd18RJQZiUDNsWvqNzsoh5c8PHMAV9R2cWF9QoqLVCWpYs1zlRkdC2DT46XLHTsTlcJbRMwXFYkMm0kTOtKqYJ7HRMWo6g5QhyWaPMI+ZRytA1WUYFQZxjGBrf2mpzGMRUVcWbW23eP1hytedS1SqZLFGVkh98cETb0VmEGWFW0nUEVV3zSr/FtYFHnNXcOVqTliW2Iej5OrvCZh7mjAvJfJ1hGhqmDlf7NkPPomMZp3egSZQWbHVsTEPF0DQcATdGHo/mCZqms4xzPEu8kKEQZDmybCTKX4Sft5jz7OufXXtfdSD5LCb6ptJdLxOD31L8vFP0X3aQP8vPO3vMNRrZy4FTUVQVQZLz1naHOMvOJcCKsmKdSl4ZuORlhSU0Op6BldXsDV1cQ/Du4zmaqjQKE0LFNw32Bi7LuKBlqEzCnF3fZW/ocnPoc3eyoljVxEXOdc+nprFyD5OS42XKP3xzm52eg9AUsqpmvkypRE3P0ZmuVRRLY7rK+C/BMa9u+BQV9DyDjbaKpqgcr1MURcXQalqm4GiVoKkaiyQjSiWOqXNvvqbtGFzpOLRdg75n0LYMtjsOyzgniDV+8nDKLAW7LLk3XuNZOtMwo+M08wBBVnC163C0SukYBokskWXVcFiFSlbVjCwBp94Ss7BAU0+1uLVm9sGVJf/vD494pe/ywwcztlo2thBIagxVcH8esenZ7M8jNE3F0jWSQlKfmu7obZVFVDDVUn53b8AH+hJNg0LWBGmOokDLEgihMGpZRKnkJw/nvDJs1CVqFFxdgCIpZMVG2yIpPu9UnWlFB3lDZTKEzjqROEKwTApkWeGY2kt5n19lzX7Zev955xouOwyX+KbjF90DX7bXXsQrv/i8Ywg0VaMsK57MI2RZ0fNMwqzA1lTGYcpWy+LuZM0fvrZBFBc4Cnx2HPLKwCHMSm5u+EzXGWVdMXRsahTWWcYyKThens3JKbQtg2mY07UbauxHJwFJVrJOc3qn82SH8xihCVQ1h0ohyiuqGo6jgn9wpcf+IuKz8QrP0DlaJlS1QnhqAmmbKh1LJ8wltzdbhEnJwTxsBok1hTCTGBr85NGCvYHfzHRpKjttm3VW4BkGYVrws8MlYVbwyVFA3zfJy5rH84iRbxEmJbsDEw2DybqRTL0zXmEZGq6hoagaux2TgWeyCDNmYY4pFG5stAjjAtsweH2rQ5DlfHywomVKkqLgjY02vtkkZUlakpc1q7hgb+hR1wqe07hHZ2feX8op/V/5fC1AU6TMZXXuoHwmLnJz6D93rb2MDv0i/DKLP980JaKLuLztvqF4Vif4y3R6XUNwsIgRasP9vigxttt10IXK/iKikDVR3sgRyaoJBIsLboFFWfFwviaMS0Zt89zfoOsapEVDOTrTQBZac+A4hsGgZXCl7/LGVocol8RZyckqQZZQUyM0het9D5SaulZ4/2CBpWns9V1eG/hcGzi0LINxWJCVzQGySgrWcc7RMubtqx3+4be2+adv79JxDfqtRlbuSt+lVoBSYR6l6IqCrqnEWTN0ZQqBoWvIuiLJSx5OQ/5vP35EEOesU8m9cchBDItE0rFNjhYJQZwjqxJD19huO/Q8k793e8TuwOG1HZ+TIGGVFUzDgkWcc2e8xlCh7eh890qHfktwY9TCsTRubvpM4gxHF/z44YLH05i70zXHq5gwKdBVhS3fQgI7PZuObTTUKF0wdJtujaM3MxNJVjaScS2r4a3KsumiyIowlaySgvcfL/jRoxl1VTNep7QdA0VpNKkHnsVWpznwLwb5riFYJZKygigv+Yv7UzRVIZaSoWeiC+Upveuv6uD982pL/7xa7C/Tzr7EJb4J+EX3wFfdaxf18J91rZ1GKbauMo0ywlTycL4mySW3Nn08R+f2hs84ynF0lT+9M2YRZzyJwFJhvM4YtJrq9MEyQigKuqbQsRsvnK2WTb9lYBoabVuHGmRdcbLKmEY5k1XC3ZOQMK1IsgKtVtnqujiWynbXYbdn8/3r/cYPxje5M17xcB6ho3H3eM06bYpo39rpsNu3+Ns3hozaFkPPJpfQsgVCE9w5WaMLjY2WTVjA/jziP/3sgJMgZZXk/O8fHJAXJbKukdS0LZ2qAldoSFkxiwo6jkDXNHZ6Dm1H8N1rXf4P39ulqhWSrKn8V4BKxd7Q4Ts7HbKyZBJlbHVdLKERFgXjZU6Q5ry+2eFKz6Hr6mx3GyO5g2VMlJXkVYkuFPKqJMpKeq4BlcLHhwGCxuDM1kVD9dI/9zk6SxSXcY6tCz44XFLXsNVxztXmnl1rZ52GVZI/JWDyVdbT8+6Eb5p78V8Hlx2DbxCeJwN3llm/LDs+y/JHvoU8VZqBZ2YTFPBtA6EpFGXFdJ1wHENeVsSypO/p554FbdugrhXajkGcSzbaFkVZNcZZZcVslaFpUMmaDc/ioIzZsN3z93cdA8fU2Om6rJKcJ4uQ3Y7H3sDDNjWCuMBUVA6CiN22ixAKQmgUsURVmrZxXVX4to6pa/ztWwPsUypNxzLQVQUpa7baLi1H8GgSUjgVq1Tyyk6L+5Pm4G93bDxdNAnBrDFtA5BlzSxMudFvcbLO8HTouwaeZTBZJwRxwStDlWVRATVRVhGkIVe6DodBwtW+x8EiRldVZkF6atbjsGGbjKOcoWdTyIi9lk1dK3z3apefPF6CUpPmBfOwomMbRHmBkwpMTWXUbirqq7hgvEqZBks8R/B71wY8mUZksiSIC6ZRyuEsYRpm5FXFtu+AUhFkOfGsYqvTzIBEucQxtdN/L/VUZapxLX1qqHidMl2nOIaGpkKSl9zY8JiHOTeHjdxpx2mqUcNTmtKza/Nl6/bimv1lV/gvlZMu8U3H17EHnkf3OFmlT3WkF6cB5DqRvLHd4cPDAIHCIsrZbju0LIFSK7y10+Z/3ptiaIKDZUiQwg+fBGy2bGyhsb+IybIKqdc4huCDgyWyLFEo+M5eF2p4NAn58eMZlqXRtk3WaYGsFAZ+00XYEhZCVUgLyajdmFS+uuHzYBbxnZ02sygnTjLmq6ZgZuhNMPvtnQ6GoeKbOvema652HI4XGYs041rfJSsKNAHUcG3g4OtQojJZpnx8FPB4EbI4LQ41pqOCRJZ4p3MVHdNgeTp75jsmN4ctlklKnFdsdx2+e61HUZYcxQlJIWlbNkIoHK9TbFNnr2uz27VQAE1RsQ2VQctiGee4ls6uqrKIM9KsotsSTULVcc5pQUGSU6s1SVax6VucAFf7DoerjN2ew+Eqfsq12tYFhlBJCvmFrvLz1trZn7r2effgy7rKL4tjXnSvePqXyBt9A3GZGHyDcHFjvOjAf15wdZEjeHFjXtyAF5UCxusUBQVTbQzOtjsuh0F8bljzxnYH6mYw+UyWdNRvKCrvnsyJYsk6Kxi0TFquYK/v8eHBEqHZjFcpI9+ibRnIdo1vNpJyyyRn2DK5MfJZJwWLKCPJKp4sIwQKD+chvmmx27WxdI1aUchLyZZvc23o83AScbRK+GA/wNIVlqlE5jE91+ftK21+eH/Odq/ReZayIpUV40WCPWqRFAUHy4iebTFwDcKioJImn03WaCjYAm5ttng8jTF0jaiQ/Gw/YLvjEKQ5QdwMKh8tE7Y6DioKr2+3QanZX6TstU2oFB7MQjQUNFXhSt8jyUpsAxZRIy1nqCqJrPidvT73pxGOrjFepXw2XpHIkn/y5ja2oRHlOX/1OOCdq53Gul5X8C2DRErqCh4sQsaLhNtbPrapYusGy7Rg6JmM2ja+pfPhwRJT1zhcNbKslDCNU+pUgZrzoeJpmJKXNUpdNoohI49FUtK2P19fUS5p2wZRLvEs8YW1+VXW7bOvezah+EUShW9yK/kSl4Bf3h54WXIPnw8cn3UOz/5/t+dATaPOFqSYutZUm1HwTXEaNJvIumKva3NfAc/QSIqKn+7PuTlqIYRC3zMbmeVC8lcPl/zu9Q6fHAY8nEZ8erTC1DU6leDGwMM2VDZ9k0ezGF1VCOMCBdju2CzqjJbtMIsyDA0ezCOGrsEyaWi0V3sOsSzZ7lg4hqCg5sOjJlH58GiFqiqkRc1Hh2sWUYotdFZZjqm32PTAalskieT+ZE1VwckqwdMFk3XMKhHIqiSvasq6BAV2+w51VfPKhscHjxeYps46WRFnks22xbWBy0ZhU9U1dQ0PxiE7PRdX19ja9Om5Jos4p+eYuHZT6JmsU/bnIVu+g2frHC8TlpMC21RpWzrdTjPTdVYQGjigUHJoQZxJtv0mKRi6FpMoxdHFBSEUn1HLeu65/Oxau8j1vzNevVRN6Kuc9S+6V5ZF+dde379tuKQSfYNwsc32olbv81rHXcfAMcRLs/WLmzpOJfOoeb9vCyZRSo1CkOREuWySCKGeK96ceSHcG6+5P14ziTI00ZifOYYgySWbbZtUNofhwTzm3cdziqLGMjVKGqO1JCv58GBJemriEskCU9OI8hJL1wnznGlU8OqmzysDl72u15jdjFekuSRMCzJZ8dnRGltTyauaj46WKCjsDFxWccrJOqGqgarG1AQnq6ai8srAxzI1dgYur2+3UYXCB4cLplFGIuHuOGq8GgpJmEo0RWGV5WgV2IbgOEhYp41En2fr9FsGKgrX+jZVXaHpNVttC1TY7liUVYVlaBwtUsq6GQ4b+CZ/cHtACby26ZHlElOoBHFOkVf8j3tTXFPwyfGarqWzjJqE7+bA50rP5c3dDg+mIdQqvq0ziwpub/hoAjqmQbdlIjQFXVV5c7eDrOpTWpWEupGmnUeft33jrHHLHromV/sO0anh3UW362fX5cW1ZFzoED27boEvtIWf/ZxLKtAlLvHrgWeT+4v79Cyo2+t5OIY43+e3Rn4zA3V6F3iWIMwkSlWT5Q3VsSwrXEPnWt+l3zLom2DoKrmUKLXCKmuoR7dGPjs9hyAu8E2NR5OYO8dr7p80Q8VFWSOEhm00hShVVbgx9NjtOQx8E10098hGyyYrJEPXJC5Khq6JZ+pM1hmvDD1MQ2PYMtjreSg6PByHrFPJg2mIazXS1LauYJsKLVPnKIhZhTn//bMxsoRZmDJNJNN1DtS8faWDb+vsdhvBikJWTZBfwTiIWccF212XeycRmayZrhPWiSTKC07ClFHHYavjsN21AbWZm0hyXFMgy5r395cskwJFrTFUjT+9M2YWZnimQa3UtCxB1zYRAtZxyf+4N+VgHmMIFV2o1DUNJbRlkVUNQ+CsUzCJ0maOAAiSHF1tFI2An4vSeXEtvKhz9VXO+hfdK53LjvAXcJkYfIPwVXifFw/tM04ePH8jP4+zt4hzHs5CpmFKLBvDk72ex9AzT9uhn1eMUICa80CyVmsMTcM2FN650sUym4Nn0LIYeCZhXPCTBzM+OFhCXfNkGZIWJZqiAjWpLNFQ+Ph4zcm60XjOZYWmwSLKOFmlhEnOnUnEtb6HbWgcrWOOlznLtDinL10beiiKQtcR7PQ89pcphaw5WeUcLhKOggTPMlDURqqt7xp0HZ2rg6bFbepao8tsWQRpRiZhvE5IywpXaOz2XBxL4/rQo+UaHAcJyyRjHmYoKkzXKZqiohsa03XK0DXwdEGUlez1HPK6omsbOLrKTtcmznNsQ+Pm0KWsFahq/vz+nDAtSYqK60OXUcfiH725waNphC405nHG7VGLuobDVcw7V3sMPIu3djvsntKFdtoWHx4EzMNThaO44NPjgINF0/25PvAI4oI7JyuOVwlBkuNbzUW+iHOWSYGuqTiWIM4ksmocsV1DECT5uZzdi9bly9bf2TD8nfHqfP29LKG4xCUu8avDi4pSZ9XgKGskjp810NzwLTq2wcEihtNB3aJupK8/PV6xzgpOVgkHi5hZVBBXQK3gOYJ+y+TtKz2+vdtF11SirNH1n0UFiqKw27N5ZdPhzSsdhAqruOBPPxszW2UIRSWvS77/ypDbmz5BnPHqRpMwdG2TcZzSc5pCSVpU3Bi6zMOcoqpJippZnLNOCtqOTiFL0kzyF3cmuLpg0DJ5e7fLVtfixtBjss5ZhDlP1iAUhSgvMIRK2zEY+i7fu97D0hV8S6AoKgPbpKxq9lcJh8uI6SrFM1U8S8cROr2WycEyhUoliLPm5+cV0zA59VIokWXjSJzmJUfLGN/WWSTNa//07gnjZePl03cttnoWb+/2qIC2pRFkOblspDxXSVNcWsY5rvj8vtcv/KkLlULWfHCw4GiZPDd4/zL+/8sKQs+ur6+Kn3fm7JuEy3+RSzyFi0Yj4wuKEc/Di7oLPc+kZeiUNUSFZJnkjHyL3a5z/vnUX/ys1zc7XB96fGu3x8kqRSgqB4v4fIjp0SLm3SdzlmlOWUEiSx5MInJZMfBtdjoO0zjFFJCetgcNTeXeScT9SYSlacwTyY5vcney5mCRkhY1uga6BkPXwjE1nswibm946KaKJVT+4LUNbE2lZQlWcY5lNlrSmx0HqOl5Jjt9G9/Q+ex4BVQMXYOuK9jxbSogTgpURWHk2/Qdg62ug1AU4kziWwYoAlOohIlkskp5NA2hrFFVlWmYN+oPtkZaVFDBx0cBvi1YRpI4rfizOxMOFgmfjQMezRPitGR/GVHWJT3P5PvX+6R5zTJt1DhcU2CajTrR2cFelM1ntxydd672QFXxHI2epzPqmHRaOioNR7RtN7KyulCoUZhHWaNyZGp0bON0XkM/TwY7joFQG/rYRerQGV6UZL5o/TUu0/KpoeXnreXLg/8Sl/jV42UdascQJIX8QqdvvEo5WaUs45zdnoNjaex2HHqehRDQs3WOV1lTQELBUlU6BnRswV7X4+Zmi94ptbUoq0Yiua5xTI1ZlDGJct7ebeSl+y2roe/U8CSIeTiP+ODJmh89mDMOUnzb4OPDNaZQ+PgogKo5szpOI56QSdA0lSgpWMcF98YBk1V+SkFyKICuY/JkEWMJQVhI3thqs9d32PBNwkwSSYhkwW7X4WrfOaVTxczjgt2+h6apqKpCzzPpuia6AioqG77Bd650sQ2V7a7F4SLhzZ02qzhjlUjivOQkSNAUhSDNWac5QdJ0JPKypOeYjIMMXVf58GDJLCw4XEYcLONGLlZRmUU537/RZ+jb3Bz652du227mBB1TIFQY+dY5HXR5aqjm6oIwLRh6NrqufCkN9GW4+LqLd8blWf/LxeWMwa85nsed+7plFC9W9J+XhZ/9fNcQ50ZWFx9/bbMNVcW7Jdw9Dtnu1+efc95KFipRJlmlOQPXOv+sd672uDteNYY165TrQ4/DVYxnCvK8ZKfjcGPkQQ3v7y8Rioaul2RFyXSVomsaszBls90MWkW5pKorDE3hZJ3yv72+wSdHK8JCEmYVfUdw41qPLd/hvcdzfnqwxFDhx48WTYWmVFgmOa/t+g2HXtacRBm3NluUKPytm33KEnRUjpKY60OPIClwTHhls0Wcl9w9gCArmMaSpCzpWQaaAp+FGW/tdEhzyW7PZrLOCPOSRZiz29NwbY04F6CoVNSUJZRVzSxM0DWN//LpBKWuKSuFna7Nk0VCXpSYRiNjqikKFTBwTVqWwdGqaT1rgGU0En2OIZitMmq1hlphEWXIsqaUNS1L4+bAp1aaQDxKJWUJr258/tioZTFwP3ct7jhGIyVb1Aw883xwLDirKAmVrq59YU7gRbzjF80TnLWXx6uUOJPsL2JGrcuL4RKX+E1BmEqOgpi2+bSK2bMGUyigqypt22C2akQRPFvQdQ3eutKlKCtO1imvjlySJx9yfeBytMpBgbsna4RQaZkCXVfZ8iwe6GsUNKI052ARs9MxOVomXOk5TNaNp8L9cQgKjNeCtm3yYBJyY+Tzk4cLDENwFCTc2vBZRjmWoZJKSVXXtEydCkiLiifzkMFWG01V+Ntdm3vjNbe2u3x6smLoGtzJVniWySTJOApiCgkGGle6NrdHHtM4p+s2s3fTVcJuz8bWNQxNRRcVvm2x07F5ZdTiOEg5WMTMI8nQFSyinFdGLn/5cMEHBwuudT3iopGIpgJTUwnSgqquWcQZqqJRx5LXtlocBwVpUSAUhZYlGK8bQzNZVrxztUeUS9zTYlKQ5viWQRDnBHkTA+g65/NlRdF08re7DrKqzqXOn/WuuHjWvyy+ufi6Xydfmpf9zr+JsteXicGvOZ63+L/qhvhlaFC/zLXyYuv32cfbdrO0fFs8RSE6U57Y9h1+crhinjba+WeJwjQ85SUqOVsdG11t9KxPgpDffaWPoih8e6fHx8dLrnZdZuuM+bpgGS7xbA0poWXoTQUmkai6yk7HayTebMFHhwGWLhgHGbKueX2zRdtqjG5mcSNT11R5PO6PI4xthTiXjV9B1+FokbLVtui6Jnt9l//X+wfoqkJRVZhCoygTfudKr+kqqCotoXL4eJ+gBIUKRYJrCR7PY0Ydm/1ZyO/fGvFgFmEbKtN1yqBlsNW22B04VCVM1hl3xtlp9SvDMgSUJZamsYgzNn2LVwYuT5Y08q01SFlzsJRUtYJ3OlgsFAXbVLm16aGosIhyjtcZWSbRhErP1el5JvMoI8xzVGnw6cmKd672mu9WVlwfetTK54Pn+amT5cixzl2N46zkYBExWacMfQtdU5oW9KmPwbDtPmWq5xqiCQBqnkoyx6v0XAv7eTjjuU7CDOXU5+FXfUFc4hKX+Gp4NA8pZE2syaeKXuN1CnUjc/xoEdK2mg7znfGag0XCMkn5zm6Pdsfg2sBrFIwMwXSdATA5pfRkskQYCoskJ80kBaBUVdPprWvyskZWNZ5lMvItDhcxhq4ziTLeutJmlUquDV0eTiJGLYPH8zVvX+myjAokFbMoR1MV1jNJIUt0XWXgGnQ8g0dqI4/6YLJmp2tjGxr/5Du7/OePjtj0be4cr7kycAiinLpsKt418O29LjdGPrc2fbbigv/yyRHjIKVqjkc0TeXNXZ/jRSPleqVvM2xbvPt4wXidkuSSqjZ4ZQPSqmIVZ9QKHAQxQ8+k1BU6LZOTdUwma0xNpawUKnL6nsfuwGPgV1DXBEnB9VGLgdfMCLStRj3uzMF4fxFzb7riRt+n72osUpisU1zbpOs0XePjZYKmKiR5oy51dkc8G788SxV6UXxz8XVfl2rcLxI3vSwm+3VKYL4qLhODX3M8b/F/1Q3xiy7IL1OieFF2f/HxJM1oG00AeSbj2XUMjpYxeVlzb7zmIIiI0ooP9pf8w7e2z1UpqJtOhaGq/NWjxkjr+tAjzhvFg7OK9HbXpuPpvPtgQZDkWLpNVpSsMkld1Qih0FI0Xhm0GPo6HxwEeLZB+3SILSokKAqPZhGFbA6xjmPi6Cp1VdEydYSqkeUlP7hzwCIuqBQFoSrsDRx+dhAgZc2jVYipaXRtE01R+NO7E3baNl3f4M1tH8+ArZFPkEle2/YZuRYP1ZhHs5C/fXvAvVlIVcMsKrBNnZvDFh3XQKgari54L1giqJmtcwaejaGpXOs6/PRgQVFCxzVYpjmvjXzComSzY/HpYcBmxybLcw6DmG3fJkglr43a3JutMTSNVZpj6YKPjwOu9112uzZBmpOlFZ6h82QZcUtv8clh0DC/1Jot33nqey9kU9E7W2NnUrK+bSLLikWUYxsq4yAhl81w2tlrz9bn3fGKGoWhZz6lhPVVAv6uY5z/DpezBJe4xG8O9nqNQeJezzt/7KzSXNcKU1JmUUFR1Miy4uF0zSzM2PAbA8nrI++8eDBfZyR5xkEEVlmyv0i4NnBJC0lVVdyZRXxrp8MsLrBFI/vZtgSyrvj0eA1VxdtXuwRpxt+7vcnhMuVv9hzuTFa0bIO7J2sMTSVICr692+HJMma2yollQS5ryrLGszV8W6eo4MamBycwCTNmUeMQ/OFhwLe2fP7bnSmWLvANne9s+RR1hRMIVBHjGDobvsWffTbmo6MVpqawTht/mSjLudZvcbRI0VUFz9L54EnAKpWsT/9ehlBxDZ274zWWrmFqGo6u45k6nqPTtxsK5iwqKaqmg2CaNTcGLTxLg0ppOiB5xa1Nn1mUnctQA+fqQgqC9x8vWCQZQ9ei7zY+DGfzgos4Z9RqzuxpmDLwrK/cHfiq8c3XpRr3i8RNL/udfxNlry8Tg19z/KK23vD1LciXZfdnlWAAR0CQSCryc33qtm1w53iNrEtuDFo8mke8uu0TnUqhnm1KG8F/+eQEQ4N3Hy/4P373Cp4leDAOeX9/SZxI/vD1TW6O/MZFchmTlxIhNPJQIjSVN7baAOwNG+rR/jwhyguuDzrM45wP9ueEScHbez3WSc6wbeKZgqt9myCTBHHO339tk4/3A57ME9K8wjVVStGYnF3v29wfr9n2HWRRMeoYhGnJMiy4N40ZuDr3xyuu+qB5BkLXUGoFzxBEUmIJwaNx3Lhi2iZtW0fQJDS2rjEJUtayoG0IjlcZb+y0UZQaTTv9ImqFOMv5YH/J37gx5ME8atrhQY5pCNZZhmkarCPJh1HAXt8hKUpapuDJIuZK12aR5HQ9k0WS8+nRqjE1yyWqquFZglmYk8qSICpoOwZbfjMnsj+PmYQZHVvHMcW5QZFrNB2itnlmLhSzTiSFLJg13f2ndKoXcU7bMQhOTWzOWsxfNeA3hNpIGl7iEpf4jYJnCd7c7jz12FmluSgqpnFTFdd1haJqlIM8S2fLt7k6dJiFGXVd0/caH5yPDtdNV3LRzKfdG0f0HIPDIGWv7xIkBaaqcRCGvLnRZpkWjeFkVLDRtlFUeG2zyzws6Lo6P340xzU0puuEVZICGtunuvu6UPBcgVWozOMCqZToQuNwHXO951PTnF0DRyBRiLOKuJBMlym2UFkVFS1HYJs6LVNgdx1OImhZKv/14xM+OlqRyRKlrvnOboc7kzWubhPnJdcGNpOgoJAV6zTn7hiutm3eudal4xoczhKCpOBH96eM1wnDlk3HMhi4Ot/Z6bC/TJjHS2xNIAzBbttmt+Ng6Y0x6JZv8/pWm5N1ymKdM45SrvZcNtt248bccRivUzbaFppopMofTmNMtSnojVcpkzAjTuVpF6UZIL9IH3pZd+BXLRP9i8RNL/udf9V/n18El4nBbzH+VyzI522iRZyTlzXjBJK8YB5JOl5jdHImVVnXCl3P4HdfGTw1p1DIiqKqmK8zdjoWHxwGCFXj3njFZsfhOEg4mseUZc3Dech212HUNkkyySpVQKnZ8G02OyYt28CzdOJTW/rrQ5c7k5CPj1Ycr1KSsmYZ5xzOI0Zdi56tg2Pw6mankcnTVUYtiziXPJiETKOCx8uQfmHx53enTFYpQZyjqAodxyJOS1yhUXugpwrHy4SuoxElcLttUywSllHKzDIwVHBMlXWSk9cCV9dpmTqfHK9ouxbHQcwnx2s2Ow55VbHbtSjLCtPQOAlSkqTGUFVMXcdQVX70YMarGy1+eH/GtYGHa2lcaZt8cLhm5JtYQmcRFry+Y7MuJK4lyCt4a7fD/iLG1ptq18EixjdatBxBUpTU1CRZyeEywZU60yil4xhMo5Q0qwiUmmHL4u54RVHW6JrCoGXhnLpZ6rrK0TLmYJ7TEaedoNM1cDaIXpQVA7dRQrp4SVwM+J831/K/aubmEpe4xC8Xz+7Zi9TBM537gWoRxI25V6DkWLrC0HPY6lsEccHHR0u6jskiLEgLSVpWaMD39rrEZY2lC9JCcmuzRZRKNjoWD6YhLUvHsgS7ts7jRUjHMckKScszWMUFQ8/gBx8c0bENHkwbmU2hCXRFQVFr9oOIR7OErmNQljUtU2MRlUhZEuUV+4uIDd8iKyoeLVJe2/RPg/gCWdSkJQgVXF0jLiS5LEGpqWo4ClJWaSOzXVUlb13pc38c0rYtnswiNA3+H+8d0rb1RhmoUtiwdX7/tQEbbYeOZfB/f2+fVFassgJUGK8SNk89CSoFWq7gjR2f5TonLktcW9Bxde7P10zXGVVVo9YKeS05WmS4toahKkzDlJvDZhZk1LL43rU+RVnxcBoiVJBA2zF4tEiQZU2Q5fiKwSptCoP+qXTpxZjk17Ga/psYyP+ycXmLXuK5ijB/HftwpYY/vztF1pAUNd2WjiGU80N/1DEZtU0GrUbB4GwT3hmveDyLuHO05miRMIszdEWlrCt+8nhJUVYIXeHKwKHfMrCExruP59i6wDY1hN4MVbVcjZHn8NZ2B9fQWIQ5ri64ueETpTkfHwaodc0bW222uw62pWMLHRSFna4LKuycBqUHi5iBa3Frq0WQ5ghFZbnO2J/HjKOM/VXM0TJCpeJq38N3DTY9C1Wp6bgGaVETlXD3eEVZ1ez2HE4WMY6p4xgaI99GB1RN5eOjAF1V+ehgyfv7AbYQfHYckGQV+0FKWcGTWcSTacSjRcT1kcvNkUNRlQxcnZ8dLKirmlqF3bbLOCrY7DoUElZRSsdpVIKudh2u9lyu912u9T1+79oAoSqsY8lO10ET4OiCb+92+c5uD9vQGLoWaSWxdcGjeUjbNpB1RdtueKd5WbPOmq7C2aD5mQmOYwre2G4j+bzVfIYzFQr99LJ5keTcWSfp0Tz8gnrFpV/BJS7xm4Vn9+wZdXAapueBomMIBqd0lLiQbLZdLENjr+uRliW63sguozQEfKHUuAa8sdvh5shHAb6z26Pnmuz2HG4OfG70fa70nNNzrkk0FGo0XSNLmwD9KEppnSrMbfg2ag1dz+CVTY+uY/I/P5sxW6UcziOyouKjoxWJrJmEBVlRoinwweGSjw6W6GpzrndcQdcyMXQV19AQmsqTIMFQm/Nuss6YZrCIJYWs8CyNmxs+lDXv7HWb4d40ZRKlzMOUg2VMWlRU1Oy2LV7d6ABwtEzYaJlYusqb211c3WC773KyjklziW1o+Ebjkuy6AlNVoaoJswJP1xm2DLqezlrmPDmVpZ6FGZ+drJmtMt59PD9XAdrtOTimaO5KReV6qzE4a9sNnfTm0CcpJPN1zo8fLhgH6S81AXhRjPLXiV0u0eCyY/ANwcuqqs+azzyPO/6izzhrGxayYuRbjFcpP3wwxTFU4gJ6rsGNgU9eVefve2Or89wug1BVTlYJKgr7QYymKNwYOYR5xWbb4rOTFW9tddhqOxRFRZA17zlYxHi2IM0M7s1CXhm4tFyBawne3Y9JspJH8xBHb6gxYS7peQ69loWla6ySDFtX6doGnx6v+INXN7gzXjFb5/xsf4mi1ARxwcAzmQDtls6rOy0OpwnHQYJvCTqWzpW+zTIuCOKcYcvh7niFrpmMI9g/XrPlW9iGRqlCkkuujzy0SuFwUXF3vMTQNII0R1EUdKEihMIfvrrBTw8WrGOF/WXMKwMHVYGu2/Dx39zuIMua8Trj9a0Oj2cxXpByt1bRVJXjZcxmx8HXdPKq4tPDFeui4HqvRdtt/v1/+HDKo0nMLEywDUEN9DyDN9I2b2x32Oo4rNKSrtokShu+dcr1tdBVlW3f4d50TcsUDL0m2bs4g5DLGllXtE5Var+q8tBFnL1ur+c91WH6Kp/xvOrkZYfhEpf4enBxfwHP3WvP7tkXUQc7p7LGg5bFIiqQZcmjRciro0YRaGvoMV6nrDLJZtsh0+H+JOR/3JsRJyV3TtbYp27zSq1wfeSRH1X810+PGTomLUtQYvJwEiLURqhhnebEheTbV7vM1ylt12QkGinQh7OE21stFnHBzaHLhwcBHUvHsxS+d3VEUVYEacHRMmGdl9S1pG0ZfHIcsNlyuTHymK4zFnFBmhc8WaaM1znzdcYihfkqQ9NUZF2zbRh0WgKlVtjt2ER5ziTKeXXDp9cyef/JAt8yGIcZ//EnT3BMHdOA43lKyzaIM8lr221OVjFxUTNZ56zjEklD1VUVDVRJfiqc0XENvr3bJUhzPjla8uZWh6MgYX8eE6mSh9OI13fajFfpeTf37LvauW7yn+80ctRhUbPTaZ5v2wYfHiwxNIVVmp8Plo9OpUUvxg/PUkK/7Jy+KGuri889Mn6eGYFcVkxWKZc5xNO4vBW/IfgyTfizSu14lXK4TM5VYi5WeJ/7GQooSn2eREzCjEHLQNc0rreg7z2tV3+G4lR9IpfVuVlKkkve3O3QcnU2WxYqCp5j8HvXBySnA2iTKGW367DTc9CVhkKj1I3UZlpJ9nqNAsS273BnvEIpYRwm6KrKwTLmStdBVU/9BDyddZLxvat9rg08HswTVEXh/f0ljiE4WETcn4bcH4fMTh19B3YzxDVdpvzO9S7/6I0tLF3HtjQeTCNQaixDQ6MJ3sOsYJZAKiX7QUSYSkwBWl2z5VoYBmhCoSohLUs2PQtTqGR5yZWug2UINj0HSdOynoYZ/+TbO7x9tcutDZ+f7i9xTI2RbyKLiqt9h2mU88lxQJxL3tjqsN2xGLoWsqr56HjFJMh4OF/z2XHA/++TE5QSlkmGoWsoioJaN0pI7x8s+cmDOYWseKXv4js6ntVoh6/Sgigv0YVKXlXUNazTgmWcE6aSv7w/ZRnlBFmOIRQGnkHbaHwlLl78F9u2Z0ZHF9fXsyZnZx2mixfFRe+N51WJnledvOwwXOISXw8u7q+vutfOKtBnNKLxKiXKJI/mIV3HYKfTUEYLWfPZccD7T5a4ps5RkJKXFYrWzGUpCjyYhTyeRMyiHKErxEVJlpd8fBLw2XHAJ0cBJ4uMu5M15mkF/3q/xaDViGNM1415ma6pbLZtwixnlTZDxL9zvcsbOx3+z7+3x8k6wzU1HEtwteuyTHN2ug6uLljHBaZQ2fQs0rJknZQUdUWUl7x9tYuhKaiKSpBkZEXFMpNEOazzDEMojFwTWUqiuDhVd7PRVMHfvNbnzSs9LKExalkEaUGYFBwuY97bX/DoJEacno0tW2DpKo4mMHQN3zYIZQ51zSROcITG0DfYatn85PGcLKvY6TmsU0nLMtE0lZubLbqOSd8xeX3XR9dUptHn9/Z4nTYJ3YXv8aIPEsDbV3tcH3pcG3pMwyYROF8PF+KHl62ji7ioZqdrKkVZcbhMzn/ez2N21tCeK6IvhijfaFx2DH6L8FX1f5/32vPM+nSj6kI933QXFWeercye0T9cQ7BMcjqWzrBl8r0rGj940gSCeVk9VRVYxDmPZxHHq5i3droUVYVQ1HMn5JYlcDSBZzcbHAVeGbgEac627/BgEnJnvOKTozXrtMA6PcBcQ0dXVW5ttDhcxQhVpagrRi2b++OQuCg4WqV8e6fDOitYxmnzM4RKWpRsuAZ3TlYMPcHJIsXUVLZ8k8ezBE2BXEpKTRDmKb9/a9AkG0HMq5seYVIxTxKUCrZ6Jsu0QEFhERfYOhi6YKftEiYFqSy5NvC4O12z27YZugZBXGAbGj3XwlgneI5OXlbcm4RMw4yyhHvzkDe2fD46CPj21S7/9eMT6hoeTmL6rkFSFdzu+riWRlbWdG0DFNhqO3xyvGQZ5bQMhVhWpHnFhwcBnqMzck3e2e1yFMa8sdkhzkve31+wSgoezFfEsmguTs+iKCqGnnmuLX6uLBFlFGV9Tvc586E407329JfojvJ5x+hg0bgwX3z8q1R/LkrhXtREf97a/3XktV7iEr8teHZ/PbvXztyObb0JP54neV2UFQeLmNGpelnXMRh4FuMghRwmcYKtCW5ttiiqirKAoixYF8Ayw7V1dro2393t8WgechJAIWs+PAgQqgpUWIbJx0cBt4Y+nY5BkClQK2iagamqSCAuKvKyZr7OSfIKS9N4fdfnvccLiqpmGhZ4tuDhJKbnG9wjxNI1ro5cwrig37Ixo5Qkb0Qfdn2bd58s8W2Dx4sIqhrfEmy3bKJliEBD1TQsW1CkJXfHAVUNviW4veHxcB5ya8tngcIszBEqaKpKKmu6tsC2BIdBTN+1GLRMpmHO+lSZaRFl3Bw6LJKCrqWTUbHheDyeRozDnB89nhOXklGrGebe7TkESc4rGy3apo6mQSlrauBgHjOLs0aOteOi9D7/Ds+6AGfCFNf6Hrc3/M8TiaI6Lzi+jD76onP6Wbn0/UX8VHLxohmBFykgyaLA/ZJI+JvWZf7t/xt+g/Cy6syzzoAvem3nNBjv2MYXMu9nP+PiZolySS4rYinPjabOnBB1oaIoNXEm+fBwiaGqpGWJJQQPpyFRVvJoGhFnJT99vGAcZGgC3txus9V26NhGw1Pf6pBXFXeO19ybRIRpjq0r7PRsdKHimzqoNdMwRagqSS7xrEZebRJlfHq0YuhZnIQp86ggL2tUReHDw4B5lHF3vCYr4f2DFR8cLXj/YEUuS9Ki4HiVnF4SJdeHLTJZ82QZYwmdyToHpaZlClqOYH/WOHbOoxSqCluHP3x1xPWRw3bfZeDaPFnEDFyDGoVVVrLb9TA0FU2tEac28oks8U2NoWfQc3Ve3+oQZAUtS2USZIDK/jzi21c7zOJGU3vkm/zdWxv0LQNU2Gzb/OmdMUdBRlUrSFSudG3ysmTkmfQsAwV4b3+BoQqEaKpku12Xq22Htm1g6zpB9vksgHNKGTobJI9yScc1sc1GLskxBIbaVAAvHtJHMUR5eV7Zv8gDdQ3BwSJGUxWWF9bkV63+dJ0XOyE/u24vXTIvcYmvDxf31/P22iL+otvxGc72O4CmKjyaRMS55GAeM1ln7HQcyrrGE6LhsusCxxBstC2EplLV0LV1Xt/0eWevS1pU7M8TwlyiKwojzyQtJbt9D1lU5EXFnZMVsqpwdJ3NtsWwZdJ1DfRT/f22KXBsnaqqmUUp60iiKTVJXrLVsRl4Fv2WTiVrPEvFMTQ0TaVlm1iagqGpXO17WIbGNM7oOIIgzlCAtmtyte/wrb0OWy3otHQWYcLDccg8lRiqCigYusaTeczQc3g0DZFVhaooZMWpIl8m2Z/HTFeNxOunx2s+OQxIspLJOiaXJVVZ83AeY2ifn9u23hhpukJjEWYcB837b2/4zYyHa/Hmdpuamjsnax7M1pSy5uEsZBykFFXdzHsIlSchhJl8qrj47Lk7alnEUp7HDi/r9r7onH72TrgYs7wMz4t5DKEy8i2+7Cr4pnWZLzsGv0X4eSqhL3ptY07WBPqG+OLnXEwGnp1NOPMhWMQ5PVs7fz3AwLWYRimFrDlcxfzetQGP5iHUcLzK8GyNVJZoSs3JOuPWRovdnkMuKz46WlIUNUWnouMYoNZs+xbf2m5j6Rq1UiMUlUWSYwmNnzxaMGyZWJpGWpQksqQuKzSh0LYNyhqyQjLwTF7baSPzko/HIb5rEM5jgqggyytKaj48aipbplC5NrBxDUFdV2z6BsukQCg1t0Yew5bFPMmpK0jyNXapsYgy6rqiqkDTFCyhsdEyeTSLSeKC+7MIW9OwTY2TIKbjmhwsYoSmsVhlTKqU6TrjxobHrQ2PWZTznSttkkLS2NlLBr7Nk1lE12ms6buuwUfHAY/mMRUlR4uGHpWVJVc7Ljs9m8NlgmNo6JqGEAqfHa1PKTwZ277Do0V4mtAp526jZxKCut4Y0X12vGLUss7N6qqqRsqKQlY4lsC2NHRNPV8bd8chAkjykmvDL7pWRrnEEhpHQcpW2z5fby9TiHi2inMmd3vZCbjEJX59cc5LP+WhX5SxPNvvDyYhR0GKLZRGylhWrNIS39LY9O2miFOlZIclqqbQO52XUoG397rMY4lQNY7nDTVIUVQGnklWVzhCIFSF6wOHx8uMOGs6ycsoJy8lvm2y7VssTw3MglTi6hqFrPBdg3VaUAHfv97nZJVQqwpJVvLpyZLH84S3dn0soTA7/TxDb6SjfVvwZB4DNR3H4vFswci3QFMoZUVHQJxWVBLiKse1BJtdG+VUSehq12YaZmx2XI6XSSNkESSU1BysEgzRzJQJXSDrmo5rkxUxV7p+I+WtqsSZZJU0iYNnCrJyxeubLWxdY+BZJLnEtzWCJOdklXC932LkW3x8uGQVF2y1bRIpG48EXWW7a3Nz5HPvJCAv4fEs5vWdbjNMBueDymc4SwrjXLJ7Kv367F3w81bnL8YsnvXikPav0yn+pnWZLxOD3yL8PDJbL3qta4hz05nn0TieN6j83MCsLpEV3B2HtBwTQ2ss7YPTAVJDqLQtgyfziLKsGHRddE3lTlmx2W1akGct53UkmUQJg5bZ+B1s+MS5ZK/ncXeyIk4rpkFMUUrefTjDtw0e5ZK+ZzIP00aj2lTpYtF2BW9f6/DBfsCNoctBkGBpGt/earPOc2Zhyrbt4DuCk0XCrVGbaZgz7Are2GkGfZOi4rNJjG8K+r6FKQSWKbjtmzyaxvQ9g1yWDF2TcZg1vNdphKYJ1FphEWWcRBnjOOPtK/1G1tQ1kbJseKNxwfeu9fnfPzjmcJVS1zXLVNK3De5NT5OpYMHQM/B1DdfWuT8N6bo67z1aMl1nPAliuraBYlVEWYlva3imIMkrVA1koXC4StlqNTMNlqHynSvdhoKlqMzTRqc6iHNqpZnhiKVkz/f44cMpAoWDZcz1ocfhKiYuJIWsuTtpjHXe2u5QK58fqLbRtOZvjhozozhvfCJujnygeZ1jaVzV7fNOxJfh2fV5KTN3iUv8+uOruNzqQuVq36aUn0tY+5Zg0DLZn8c8mkVsti2k0VT9FbWmZxvYOoxXGbYpmKxSMlnS8QwUFKSsCKISTYOuruFZOlWd0HF1DucRaQVRlHOwyKBqpJaXqwzX1FGUimHHYn8WcazEtF2Tk3WOQOV4FSLLiqMgxdJzvrvXpue6yKpGq1XWacHAaygvUSaBiqNlSlpKHk0j2o7B/jxmXcKGqpApMGrZuLqGawkGLYPdjstHx0s6jsk4SBBC5ZWBx4ZvcPcopDZBpenSlmWJbxnYhsJG26ZXVnQsg+MwQVXURm0oq3g8jei3TEaeSccxuNb30PVGnOG9R3M0ReEhIbpQ2Rt61DTqTI4QHCwTWpY4Ny672nfQFHAM9fz7izLJnfHqKWrnxaTwRYZmX0Yfffb5izHLV113f501+03AZS/9Ek9hGefkstH3fx6N4+JjX0bRCHKI8oJV0jhb6ZrKVsfBswTjVcpHR0seztYAOKbAMQV7fY+yqunYzSB0EBc8moWEmeR4meAaTev41qgxRStO3XUPgoT9RYJr6yhaze/fGtKxDPotk62WTd812eu63B75LMKctqXz//nohJ8+XHK4SFjnEkvoFCVMg4S2Kfj9myNGLZOOoyM0gaxqbm62GDomXbfRyH4wjZjGGcskZxkVZLLk3iRilRUs05zNtokCSFmRFiWaobDddtA1jdujNpVSMvJthK6w13fJy4pey+LOJKTX0mlZgpZjsg5zPjsJeTCJ+PHDGZ+drPhsHNFymr/v9aFLxzKZRo1Cx5WezWvbPgPPoChLdE1jHKXERcHQtlimBbsdC1lXjHyToWvzwcGKumoOXs/Sm0tbNtzNsqwJkpxPDgMsoVHUcH3o4RiCbd+hZYnTgL4+rZ6tPvemKBu1Eee0DLGIc6brjHmUndOGDKFyc+ijq+oXJE1fhJ9nyOwSl7jErx9etIddXZDmVdMJqBWWYcEiajoHR0HMwDMIs5LrvRabvkOSldwZr4kLsHWFpChJZcU6L1nFOZsti5YtmudyiSlUHs8TLF0wXWenQ7ZN4tFxdZZJTpQVXBt4bHdMNjsOT+Yxj2YJ7+8v+fRozcE84qOjgHVWUtUKbVtno2PzZJ7ycBZxvdtq5FX7LmlV0vNMVAWu9FtsdxxsXbA3dNFUaBkqQdp4ASgoRLnkJEiZrDIGtsHDWUQQFnx8vAZUurbOGzstPMtAFU3R7Y0dn7IsWSYS29J4NI25N14zXqXIuuK1DZ+Op3O977LTteg5OqbQ+KvHTRJwRgOerzOgYj9IGoWmTOLoglHbou9aFHWFEAqLMOejwyUfHS0bUQkLxIUu8SrJibLyfCgYnk8PevaxLzvXn33+YsxyiV8Ofu7E4L//9//OH/3RH7G9vY2iKPzH//gfn3r+X/7Lf4miKE/99/3vf/+p12RZxr/6V/+KwWCA67r883/+z9nf33/qNYvFgj/+4z+m3W7Tbrf54z/+Y5bL5VOvefz4MX/0R3+E67oMBgP+9b/+1+T55eL4efAFzd9nVAIuqgfBF6s9Z49f/Jwzs5qyAkPTGLSsLw4ZKc0wGEDX1Rm1muHmJJfUVc0PH06JM0kqS1TRBJfrLD8fOILGav3BJKSqaq52LapaYeRZ/N4rA672Pba6Fhoq4yhlq+2QyZIns5j705C74xBdU1E1haIqSXPJTx/PWcY5R6uMO+OIddpQc7qujlLXiNN/lK5nUBY1n52sUFFIUkkQFTxZNG7AUVbwyeGSWZLxeBFjG9C1TXbaJhueydA3eWPbZ7vXOE7qWvO5nqlzve/x6cmKw0XCImoqTVQVuqFR1xWqAkPXYsNrgnHH1NjxHVTg3Scz0rzE0BWu9T1e3WzRcQx2e43E6e2Rz/VhC6GrvLXtM48Lbm/5jHyHEthpmyzinHeu9thu21wfeOi60gwdVxVhUnK4iNlfRBhq8zsbqsq7+3OKoubWRovXtzvYlsZG2zpXJcllxcG8WQ/nCadQ8G3j3O04l80wWU1DHXieMlGYSvYXMfvz+LxFfTkr8PXi8ry/xNeJi/fJg0nIe0/mhKnkcBVj6Y188zovgKa48sHBgoFjYhmC10Yu+8uQpCh4OItIZYmigm3o3Nrw+e7VLn1Xp+/ZlHXN69sdNE3jWt/Dc3Rub7ZIspzNjoOla/ytG0NubHlc6ToYQuHhJOanB3M6to6uqPiOhamrvDJy6dgaRVXjmCpV2cye7XYssqJmHCYcLBLuTkN+53qfjmvgGQIq2Ou5KDTOyb93vc/fvTXilaGHZQh6JozXCUfriI+PlhysYuJccmcaE6YFh4uYOCuaWSpdEGYlpq7hWzp1XWEIjYeLmJNVwicHK4SisIxy0rxkHubcn6wxNZUaeG2nzR+8uYGtK2x3HN57tGAWNuew0BVKQKgKYVbycB5yHCTEackqybk59Lne9xC6QiEbwYllnOOKz1XnDKEyaFnn/kXPxgcv80162bkepk0XwjXE58+/QNno0s/gF8fPfaNGUcR3vvMd/t2/+3cvfM0//sf/mKOjo/P//tN/+k9PPf9v/s2/4T/8h//An/zJn/Bnf/ZnhGHIP/tn/4yyLM9f8y/+xb/gvffe4wc/+AE/+MEPeO+99/jjP/7j8+fLsuSf/tN/ShRF/Nmf/Rl/8id/wr//9/+ef/tv/+3P+1f6RuPZoZpRy2Kr3cjGjVcpn50EHC2TLwzdvEwC8kwCTFNhq22dDyOftQzDtKn0V7IGFNrW5/zSQcs6ddUtmYUZsqzYajm8sdXh1qiNawj25zHv7y/4iztTwqQkkZJM1vRbOlf6DrqqNrzUsjkQBAo/ejDjaJkwiTJMVWCaCq9vtfjWFR/fNjkIUiyj4aTWVcnDccS96RpHF2x3LW5teVSqwjhohpTf21/iWyamrtJyBFFeMF1nZEWJowm6nsUizHEMjUUCtQq2JZiHkgfTEFMoxHmJo+scBwlVBSg1Xc/k+sCl5+mMfIu6AkVVUYCyrqgB3xa8ecXne3tdRm0L1xJ8cLDicBnz0dGKDd9qBrGVhhrm6BrvXOnS9Qw22zZvX+mBorDXdwgTSVJI3tz2CfPyKXUqXW2q+I4heGu7Q9fVyasSDZW7k8Yl890nc46DhINlhC5Urg8aw7Q4k8S5xD0bMnR1jmN4PI+J/v/s/VmMbdd13o/+Vt/uvqm+6rQ8YiNRVGdLsuPIdqT4f4PcmwRJgABBAgTOQx7ykPglAQIkD0YekiAPfgiCIECQOBfI27342xe2lThuYvUUJZE8JE9fdaqv3a6+mWut+7BqF+scHlIkRUqWWB9A8FTtvdfetdecY845xvi+L6mdqJebddvQ+da0gWvQd823eFws1I7eInd3gQ8VF/H+Aj8OTKOMe6OQYy85awuxjTqp1LF09ucxqShwdI15kvO5Sz12vYQ7xyEvP5yjqjKmprBiwWbPJsoEbUtn0DRpmCqOrhDEgqtDl45r8NmtPg1b4+qgiSkrGIpMIkq2Oi4bbYeTecr2NGRnFPLaQS1r+txak5+/2uWFzR6yJFGWkCQCTVNxDZVpXPCZrTaupmCpMtcGNkla0HF1WobBPEnxE8HeJKQqwU9zXjuYYygy15ZcvBwMRaKogKpCkSUUWWJ/EjJPcvKyoufqJFnBnROPBychhiqz1jW5Omzy/e0JMz/h0E/QVRnHUPnYWpOua+AnOWMv5/V9D10GUZZYmkqvaVAUFXFZ8v2Hc7529wRbU7nca/CJ9TajIIMSxmFGLMozU1IqEEWJJEHLqBM8j++/z+8lfpiE7bsl925PAuZRfma09vj7PD6mPkqE4Q8S75lj8Gu/9mv82q/92js+xzAMlpeXn/jYfD7nP//n/8x/+2//jV/91V8F4Ld/+7fZ2Njgf/7P/8lXvvIVXnvtNX7v936Pb3zjG/zcz/0cAP/pP/0nPv/5z/PGG29w48YN/uAP/oCbN2/y8OFDVldXAfh3/+7f8ff//t/nN3/zN2k2m+/1T/tI4vH+vselS5uWjqpIT1SPmEYZjq6eaQqfN546LwF23uwKCe4ce4zDnEBkqIpMJN4UER42TF7Y6DFPTzf2qUQlV1wZNmpS2nHAt7ZHpFntDnngxay3WzyYRqSixFQT2k6L3WmEa2g0DI1bxx5ZXhCkBVf6DrqhoAqZXFRcGroEieC62uCb98dcGrrszxLs04Ukqwo+vdkH4Gge88aRx6t7Hq6hMotzfv5qh4NZ7QxZ5iXtpsHTG03kvYrLvQZ+nGFrcDxP2J8l6HLdz58XFf/Xx1fYmUX0XYMjL6FhauxNJnQcg+MkJUkFTas2HAuTgoausT0K2Og16DSqUz8GE1tVaVoqrq6x3rFpWBpRJpgFMqoss9FxQKmJxGEiuHXkoUsyB37EKzszhm0LU1N4eqXFPMo58iaYWu3OCXW/qGOqbPZcWrbOq7szVlsW90c+A9ugbep0HePsXodZzTe4fegzb2Zn5LQKmIQpr+zPuDxwz0xpzvNUHje5OT/WtrousziDiov2oR8TLuL9BX4c6Nj6mST1VtfFNVWeXW2TiZKXH85qSemiYDbPaRoqe/OIq/0GJ7MEWZbomgaf3mzynb2aAJuVcPfomLalceTF7M8kXnww4cZai7ahc3fkY6oKDUfDMhTitFZL22o7hHmEY+kMGyaGBF1H46mVJtMww9Icvr09IkgFB/OI1ZYFVARZyWcvd9ibxswSQcNUOZilvHEUcGOpgZdlyMi1ueTA5XCacN+LuXMUoKmgSRKOWlc7+pLMYNAiFgWzKMNWFI78hGHDqqsUuoIf5UR53Ur6pY8t8827Y1QZsgo227Uj8XPrbcZBzr4XEWeCg3nMoGGwO4tp2QZ3T2aUlcQ8TOg4Blle8IOHUyxV5qmVFrcOPba6NkEqeGGri6bIZ5vv+Wn13lE1jvyEpYbOSQLZOcMxR1cfub9PkrBd7A0e3z+8Hba6Li8Fk7OK9Dtxyz5qhOEPEh8K+fiP/uiPGA6HtNttfumXfonf/M3fZDgcAvDiiy+S5zlf/vKXz56/urrKc889x9e+9jW+8pWv8PWvf51Wq3W2SAD8/M//PK1Wi6997WvcuHGDr3/96zz33HNniwTAV77yFdI05cUXX+RLX/rSWz5XmqakaXr2s+d5AOR5Tp7nH8jfvrjOB3W9DxsS1ApCVUGeF4881jEVpFKnbetIjz2+eN2xF5MVJSLPa4WFqiATJULkhAKiNGMUZDStuhFHU2R0uSJNU1YaBq6ps9Wxzr4vCVjvGAyFxv4sIk1zVLl+TRin3Dma40Upuajo9xxWNzrsTmNkCXSp4krPIkgSgjCjZ2uMo4RjPyXLBYpSKxgJUTELU1SpYjyTubrkggSrLZ1KCD73whJfvzslKwoMCe4ezsmLkoKSh6MQRZa4feBxbcnl67dP0GSFsiyJUoERy4xkuDRwGQc5q0sOL05HRHl9CJrFJXqusNSy+Nb9EZ9Yb/H1Y59ZkLIzDrg8aLIzCkizggMvxjZUnl5uMGzavL7ns9wwieKUUhj0XI00yXl9POe59SbLDZ21rkWe10oNx37MasfE0TSWXAshcn7wcMY8yklFyaGfMPIS9qYxX7wx4ObejKWGzqGfUZUFg4ZBGJsMmxYiz7ENlTjJ+eK1Hq/ueRgyxLlgrWPTslTyPOdkXtTjhRIhBFEqMQ9jtroGKzb0HI0rQ4cozRE5uJr0xPGXibo83T49MNQqVxVLrlY/4Qnj9acFP8kY8WG855/XeA8/nph/Hj9t8f9x/KQ+vwSstw3WMchEwd44rhXogGsDi+1xhWuo5EXB/VHEsKFj6QqXhw5hkmPqACVeAt/fHjGLc3RN5V5ZUhQlN/c8jFPFvGfXm+xOAza6NleHLlEu+NqtOZqqkLgqeVnSs2VWWj1WWgZJUfCtO8f88jNL3NzzKIuSeZxxqWdDKWHpMj3XJMkFe6OA7XnM1Z7L1EhJ8pLfeWkXx1SxdJWurSEDmiYxj1JOvIyVVu3AnAroyhI/d6nHNMqQYondaUBQyfRdjb1ZQJIXbHZtxlGOrSvcP5mTZYJBQ8dQFDZaFoOGwbUlB1UuOZoFZEUBp22oB/OYftPg7pHHatdiZxzSNHUGrsk8zYiSnJv7M24su/RshSCGraHD0NXq1p3TuLvVsRB53YJbloJJUDAwQa4KhIBcwOE0pGmpxElay4me7iPgzT3HsZe8Zf/wTnHdUOBTGy1mUYarSe84Tt9pb3MeP81z9t189vfzd33gB4Nf+7Vf42/+zb/J1tYW9+/f51/8i3/BL//yL/Piiy9iGAaHh4fouk6n03nkdUtLSxweHgJweHh4trCcx3A4fOQ5S0tLjzze6XTQdf3sOY/jX//rf82/+lf/6i2//4M/+ANs+62Zyh8FX/3qVz/Q6/15hSghFOConGkBz7P690UJv/+//w8dHQrefM44AT+Dhg49E/bOXacq4SCGVt0Jw14ESyZ88/T9VGAnBF2B8CG0DZin4AtoqPBHD+HuDJISOlp9zWkGVLDswIM5tUtzAg8r+D7157BUmKTQ1uBPdsDLwRNw5942mgSSUpNnS1G/v6vCn7w8RZeglMGQQFNB+FC5MC4gELAtoKlBNJ1QCNA1SCW4NwFXg937tb7/NAHHgHw+5kobHkzhKAJTAskbYeugy7AfgqXAreCYYK/+LpOi/j7XXcgPICrBS2Gewy0Zuha8pMDQglkKDwNo6SAkSAOwNPizbx/TMOAbGUQFpAJWnPr+WCpcbtTf5eK+OSocRvV3EpuQCHgYwoYDrl7fz3kGh8CBXt/3oQ17r3yLW4KzsrMq15/lcSzG0OLx8+MM3jrmfhrxk4gRURR9oNf78xzv4ccb88/jpz3+/zg//2JuGzKk5aOxAepYlJYwMOvn5QK+/aCOPRVwksBUgfFteOCD94NbHEYgVXWsQq7jaOBDw4FXXzmgacBcg1sKTFM4DGvi764DBnAUw5oLfxbDOAZNg1uvvUbHhG0fygoOJ9A1YVrAlDre74d1jDxM51zO4XujOkZXBdgaDJ36s8zy+nlFBScxHAMNA44OjpiOjrjShEkAcVivPQdzuO/Vf/PR0ZyeCQcCdhR4VT1TB8VWYHsKB3sQ5yAqUCVoqpBn9brwJ5MZpgKrDjQ0kGQo7Pp73/Zhw4X/dP91FAm8DO7akFdQnX6fXfPNe/P4Wv69b/zp2f1UqNdeQwZFfnKsf9L+4SeFn+Y5+06f/f3E/A/8YPC3//bfPvv3c889x2c+8xm2trb43d/9Xf76X//rb/u6qqqQpDfZI+f//aM85zz+2T/7Z/yTf/JPzn72PI+NjQ2+/OUvf2Cl6DzP+epXv8pf+kt/CU3TPpBr/nnDIptrGyrz0/69lq0TpeIsyzPyQv7XH/0pX/qFLyBKmWtD9xFjtBM/eeR1eVH3z3/nwYRhkmPpKm1LY5Dl5AXYWp0xHrYsPlXBLMxpOSqrLYuDecLhPCIRFYYicXhnzHSWsNq36WoKbpRzZejQsjV6toGpy+xNU47mEdM455m1Jg1NJSlK9iYRS5pKkGb4kcDQZEZ+TsdW2OjajMOMrbLk4SRmWZbZnYZMgphhv0HfNui5BjdWG0xCQZBkeHHKvfu7/IUXniJIBcd+xlbfYhbmyFJFxzXRdj3sMGa17bDVc+g4Glt5wc40JogFhgaqoqDJMhumQi4qhk2TJC/oVBWv7XmouSB3DJbWm3RtnXlSEGc54yBjqW3zsWWXwWnL0o0g49qyS9812RlHxEJwMI049BIMTWMe1pmup1cabHQduq6Oo6vkRcnhPEVVJJ5eqefLIqv/2oFH24tZalo8v9F+y3g5mPr8yZ/+Gb/4F36BCgUvzum7+iPj5jzZ7PGKwSKzJAHzWGDpCo6u1FmmnzL8JGPEImP+QeHPc7yHH0/MP4+f9vj/k/j8x15CmBXsTWPWOha6IqEp8tn6cuglxKkgL+HLl7tEqeDhJGYSpnRdnaqqlXyoBMU3v002uMJKXKLKFVFWst61WG2aLLdtWrZKlArujyKuL7vkomJ3HKEfeliawic32iSiZG8WcecoQHYkliWI04J+z+Zy32FT1Ep4eVlQIZFlgkmcc8M1WA5zSgl+bqtNUsKvpAWv7M6YRTk9R+eplQZxVsuvzqKUOCuRqNjq2XznB7dZX19mtWux0na4Kkp2JrWr74OTAFPMUXWFT230mEQZW5ZOXhaEqaBr6YCEYylQgqJKNek4FCw1dbYGDcIk5c5hwJ1xQJKXyG2XQd9lpW0ybFg0TIVZKAhygSLBw3HEc12LOC1wZJkwzVjrN3hmtfnI/QFoWwp//If/62zcZKLkznGApStn93MRy8/HduBsLzA4bVM6H/d/HPhpnrPv5rO/n5j/ofsYrKyssLW1xe3btwFYXl4myzKm0+kjWaTj42O+8IUvnD3n6OjoLdc6OTk5yxotLy/zzW9+85HHp9MpeZ6/JbO0gGEYGIbxlt9rmvaBD4gP+prvx5L7w7LxnsQJlaywf2p8VVUSoUhpWTpBXp31/dWZXpmmYzCNCzS1omPrOJZGkFenhNKYvGZbsdKyeWa9w7fujVlq1EoSDUtFk+DWyMPWNAaVTCWBosqstFxUTUbVciZhgapLqMhUksylocOgYWHpEoOmhaJKNA2DUpIJkgpdk+te/LzkYJ5y6UqTlx5OyYqKeyMPVZZY7djcPfZY79l0LINBw6bftDnyYrpNmygWHIUxtmkQZAW/cK2FrCrszVI2OzZxJljtNpjs12QvW9dxjJKTIOdyz8XUZLxUoKkyz6y1sXWdQdMgKSoMTeVKr8nDacDdcYClqBSioNnQ2ezaeJnAUFXiKEPXVSbzCBmJWVyQFBk3Bk0OvZggq06lVAv6rkKUV8ySglf3Ay4PwNQ1diYxK60GmqrRsjR+sFuw3DYYNG1iUYGk0HIsZnGGaRRYusqDaUzL1EFWCPKKXtNiEgkqWaKSlEfG2yROmCUVfgaaohKK+vmWrhJmJSehoJIU1rtvzk1NA8d68+dBSzkjkzVlhSgTDFrOu/Y8+POIDyPuvJv3/DDx5ynew4835v84r/9h48f5+Qcthdmxx1rPIS9KLnUb6KrM7iRimpQoisLk1OV+30vZ6rrcOg6pJJlJmKMoCj1bp2VplICpaawYEkle8tSySZAKFFXFTwuKSuK1Qw9dUYjTOqO+O0+wdJ2eo+M6BlIkuHMSM08KpmHGZtdm2DJrImtcoFAr4HhJSVVWTKKUMCtI0pKnN5p8arPHK3tzHL0mAK92HJaagqysUCWFrb5JkBQokszDPKJjGuRFxZIDzaaFrqhkVYUf14mpgWvwxrGPY+q0XJW1jkPHMTB0mYahc/fYZ2cWsNVucBLk2LqGlBeYukxVwSwU9NsFm90GYV4yCTMkVyYVFYqkkgmJdsNALmXyStAyDV47nNN0TaRKZtBQmUcF3YbJsG1TSQr78xQ/C7nUc3EMFcesDU0rSWESF6dmcAZRJs7u5wKL/UOQ13WOaVIiSRWWWf+8eGzJ+vHHxsWY/yD2Th/W/utJeKf5+n7m8Ye+qo7HYx4+fMjKygoAn/70p9E07ZHSx8HBAa+88srZQvH5z3+e+XzOt771rbPnfPOb32Q+nz/ynFdeeYWDg4Oz5/zBH/wBhmHw6U9/+sP+s37seD8M+/Ov+SCluxY6wlvdOus8cA22uu5btIdV+U2FiLwoH/n8tQka5OVp9kVUzJOM1abNC1sdmrbO1sBlrWvhOhpNS0OVJII0J0hql9zdWYSjqay0bJ5eb9I2DO6PAgYNg2XX5HNXuihyTZj65GaXtquRiBJFgfWuQyVJ5FWFyCv+8PUD2pZKUVYkomQSJ/zh60coksyxl9V28X5MXhToioIiQUnFZy8NadkG/9cnVuk2DKqiwrE07pwEyIrMPEo4iuDm/pz7Yw9NhmdXmqx3LJZbFtsnPpUkcTzP8JOM/VnC/jji3rj2R5gEGQ1dw1Rlmo7O1E/57v0Jb+z77IwjtnoOl/u1P8Ny28Y1NCoq8qpkrWsRpTlJWjBLMvZmEU1TJy0qplHOdx+M+eb9EW1bAxk+d7nP3izhxqCBY2rsexH785jdaVTLuM5i4rRgexQyj3Lyojy75wPXxNIVmqb+ljHasXX6rk5Dr7NC14e10lHH1h+RmnunMbpQtcpF3d+7MMm7wJ8vXMT7C7xX6Gq9lkRZLcMJdSwYhQmiqJVwPrXZYbVj1wIEUYZjagybBl2n7u2/fexxOE/YCyHJC078Oo5FecVTSy2o4NaxzzfujaCUSDJBkObszyPmcY4Xp/QbOn3H5DhIuNq3MVWZzYHDlYHD5aFDz9G5uTflO9tTXno4I84KmpaGJtdZ8KKsZanvHPlMoozbhwF7sxhRluxPU/Ki4sCPEaKi3zT4+HqTzY6Nn2b4Sc4bUwhywTwUHE1j/ERg6xp+WvAL15YYNC0+t7mEn+WYuoyhyvhxysNJSJxXfGd3jJeknPgxVSVxEmRIEliGiqXKWLrC1Z7L5WGDtbbNsGlzEiU8NWzQt0325xGOrnBnFNCxdVqWyrWVBoOmw1LH5PNXhnxsucU8yZiGGaoksTeNHiEZz073HHlRnpmQPh6nz/sQPK5E95PwpslEyTzjkXXng1A0+mlWRXrPFYMgCLhz587Zz/fv3+d73/se3W6XbrfLv/yX/5K/8Tf+BisrKzx48IB//s//Of1+n7/21/4aAK1Wi3/wD/4B//Sf/lN6vR7dbpff+I3f4OMf//iZasXTTz/NX/7Lf5lf//Vf5z/+x/8IwD/8h/+Qv/JX/go3btwA4Mtf/jLPPPMMf/fv/l3+zb/5N0wmE37jN36DX//1X/+ZVKh4Pwz786/5YW6C74TzJ99MlGdycq6pPmJBvvh3JkpOvARRQpQKLE1lnmT0nTdlKBfBIs8rkCpkJMK04O6xj6LKNM26dWW1aTNLMoocvCyj75qc+AlHQcxSw2Lfi3h2tc2wYfJHrx2R5gVJDs9c7rA9CQnTAtsQaLLEawc+mgoPQ0HbTrnSd1AkmTeOfC71XJKs5MZyg1RUfH83ZuDojMKUvqNzOE8Y+Tl+lpEWBWttm89d7qFKMltdkyAtUKjdMt849FlrW4yDBKmsiAXcPwmxTJWnVzqEeYEcZuxMI5qmSZCElGXBvXFEU1UQgGsoJGlJQcWgYbDetwkiQZYVeJlgFMVUFaiyzFc+scqL98eESU4iBCstG9dSKfKKzZ6Lq8u4tsGgaSLKkl+6PuD7exNmgSDNC0QBn7vSZXsScHXoEiQ5W46Bl6QczTJMXSZKBTuTCA1ISgGYaD35EUfs9a59JlF65CVn93phcNPS6/uunVOROO9v8W4cL2dxjiTVC9BCxeLigPDh4SLeX+DDxmJNyUXFLM6xjdP2VEsnysSZS26QCO6ceMRJgarWZpkAD6chJ0GKF6U4OiiydJb4ubHcwDYUqCp+sDtho+fSNDWWWxYVYOoqZVmiSDKaUksn9x0DPxH80vU+D6YRN5aarPYcfvd7u8RpfWAZuibDhkGvaSArErKs0LBkZlGOJEnsjAKkSkKPco7DDFeViDKJhqHz6oHH8+ttDr2YoqrQFJlXHnp4MeyOI1baNo6iokgSfpIzaJnMgpT/5ydXyUvYHVd84+4JhqpgGyoVFbMgomEbtShHU0dVJcxCptnUkai4PwrYnUZokkTX0RmHGaKs0FUJQ1fIqxJXV3hpd8bnr/Q4ChLW2jZbndpXZ7VlE+WCEy8hExVNU8PLMlxdYxZlLDXqrHTb1pnGBfMko2nqhJnANdW3ZM/Px/fHleg6ts6xn0AFw9Pugw8z+z6LMsSpx86iSv1BKBr9NKsiveeDwXe+851HFCAW/Zt/7+/9Pf7Df/gPvPzyy/zX//pfmc1mrKys8KUvfYn/8T/+B41G4+w1//7f/3tUVeVv/a2/RRzH/Mqv/Ar/5b/8FxRFOXvOf//v/51//I//8ZmaxV/9q3/1ES1tRVH43d/9Xf7RP/pHfPGLX8SyLP7O3/k7/Nt/+2/f+7fwU4D3Y8l9/jXvd5BmouT2sYd1mskZBQlRWrA9CXh2tf3E1xx7CQfzmHlWB4oH05iWpaOdehUsrnswj9ibh6y1HUyjlg/dn0akVcFKw8axNLYnQW2EVZWstmzunQS0LY1EVjiaJyy3rTNTlE5D49KgQZQIVEXCKGSqskKVJP7vl3bJgcNZjGuo3D0JqKouuaidf/OioNvQaZgaDUvh+fUuD2cRV4YNplFKlBaoqsIszlCRoQJTVVE1ifEk59UDj65V91Zamsw8zOg3TUxV5lUFbEtnngmiWHDnMCDMS8gLKrlipWUBMI4EcSroORplUVJJsNI0MQ2NFcfgXlKwNawza/NAYJgSSSH4/sMpsSiJ8jrjMQszVEViHueossTGwOXp5Tbbk6C+D7LM8+td/vdrh2iKgqhqzocmy9i6wkrbYhblNCwdTVHpOSYPxgGWIlNJFRuui6UrtC39TKo2L0o0Web6sPmWTMlJkFIIQfimKu0jgX6paZKJOsv0uBTp+ectKgZn5nvv86B7gXePi3h/gQ8b0yjDPo0hLUMjL0raVj3XbV3l2EsYNk22JwHH89qVd2hYZ7FgrWMRZwVFWWvpDxoGLac2kpRKiSgVzOKcpZZDkhV8/uoATZGZJxktszaAfGm7dv99cXvMPM5xdBU/K1FVhe1JxChO6TcM9mcxg1aLjqMjyxJ5UbHetug4Gl4kqEqJcRRjqQqGqpCW9eOKDI6h4kUpYVbxR7eOsXWFEz/BUlWW2gb+DExVpufoaJpKnAnyXPD9B1NUVcHUNK4tOdw58lGQmUQpjqGjKgq9hkVVwEbbYXNg88aBT9vWiBJBlBfsz2JkRWbJ0WnaOpcHLnGWsdSyqaT6cPJwGrPetbg7CrnWb5DkBTvjEEWSeGVvRtNU6dgGlqmAKlFK2ql/jUTHqud7nfipzg51651603/s1f4zuSifKEn9+HgYBQlVJZ0lkaZRRpgKRkHC9WHzAz0ctG0dVeaM87D4O37UdeWDuMZPCu/5YPAX/+JfpKqqt33893//93/oNUzT5Ld+67f4rd/6rbd9Trfb5bd/+7ff8Tqbm5v8zu/8zg99vwu8+0H6uK7wIjhHWW2XHukquSjZ6rpPPMUvSsAL76JFmXh7EjBwzTNX5FGYEKdFPfkViWuDJtuTAFWFIK7Yn0dc1hv0G3Wf4lLL5GiecGXo8trBDCEqWpbGPMr5QTRFVSVWmzZ+LJCoiNKS5Y7BSsfmB7tTKmSmQcyv3hhw+zhkmmSMo/SUoJUzaOrYqsMoyBi2TMoi4emluk/fUFVcU8NUFFp2m7ysuNx1OPJToOLgtL9fFBXLXYujaUyvY9LWdR6MfOrtes2vkE4dg1VgnNUHmJ1pzEbH4vqSi4LEzUOPyz0XP00AiV5D48jPiPMcKpmGqbLes9k+CdmZxMzjHKmqyMqKp4ZNOrbK9knIvhfjaiqmJlPkUElVXf42NB6MA2xLIUtrfsfNvTlBnrPVcWnZ4Og1H+HaarN2IVUVRknCjaUWyLWedJgJwrQ+mFBVXB/WmdvFBt/RVWZxRtvUkJAf8bW4uT8jL6qzhWJxiDh/eIQ3y7ELbewnZZAu8OHhIt5f4MPGYg4P3Hrzb0n12qOpMqN5QpQU3B8FXOm7HCsJS02HeZJzc++ElqNzfdAgaAmOZhG2Chsdm0jUY/bl/RktUyUpCoqiRJIlRn5Ky9bYGUWstktuHftEScnutDZfNDUVlYJxlJHngokk04jqjfpm12HQrBMihYA4ETQMhY2mw+upR5QKZBk2ew12piE3lhpkRcnYTzj0EsJEIEsyA1cnzAW6rBDmOX3XQJHrAzBVHfPHXsk4KFhpmYz9FC9OOZqrLDVtDpsJQwyWWhYjT2JnltO2a0+GsqjY6Lq8sjdDVUvUSmWzbTGPMixNY7lpokrw/HoHIervYxrmNEyVOycen9nsIaqSpqVTURGEglksKMuKQas2E3N0ldcOZlSVRBDnfOv+hOQ08ePoKqMgebSNSKoN0UZhchbDF3h8H9E5FaSYJ9lZm1LH1hkFCfap5Ozb+SK8nwPDgg95UXl+Ex86+fgCP1047zLbsuoecFtXWWvXmzdNqUu4rlm3izyetZ1GGS1LRyqrM2myMKvbibYnAbaqcn/so0kKR36MKklMw3pTeH3YxFZVbh97QMWDUYCtKdimiibLvLBZt7ssNSwOvQhTV3l4mtFQVZmdUcRKy+LET4hETrfSUTWJhqnxg4dzNrsmpq5zaQkGiYkXCxxDJUgEVBVlVZFTEiUFUS6IRcVGzyYvwI+yuk3GUvnEUpPbJz7TULDUNLE1Fa0hsdy02eo7tAwNISoquaTj1IQ4V1UoJQlTlXhho8Whn7HWqftZx0FGkAoGbYn9ccjVvlv7LKgymqww8VNSUXGp77I9CnAMk7Gf0bFNjryYvCwZBynPr7eRZDCM2jMiTgRxWnD72OdgltSSsbrM1UGDuyMfQ1F5Zq1FzzX4/sMJaVpyf+TjJTmqInGp75KVJdeHTaJ0gmPoeHGOaajMooxh02QUJIiiNo+bpxl29GZI2Z4EWJqKY6p0LYMXqTNHlaSQFRVBmrMiWW9bLQAeaTF6PGN0/qD7+OLy4yR+XeACF/jhePww//hm8PaxhyrLxHmdaV70fAdpjqkpvLg94cZyk2M/wY9z5mmGqkrMkwxRlkCFJsFSy+T+OObPbp1gqiq7ccyvPLPM9ihgbxrzvYcTVFmiaWn88Rse8yhDUxRyUSApEqosUSDTMjX2khxLhzgVFFVFVhaIEpq2QZzlbLYc8rLgWzsjdFkGSaJh6pRFyVbP4eE4YKXnEKR1EuXGkktelfQaJk1d45v3R+SlwjhIaWrgmCq2rbDessjzis+1LeZxTsPWCdOcYz/meJbQs3TSoiDJi9rosmES5wWzKOX6SoODWYytS+S5RNPRcA2Fhq0ziTLKsqKSwIsLvDRHFDCPEyxd5cZSC1VX+OylPidewsNpwLGX0LEVOrbJ08ttdFVmbxJx4icYsszhPMHWJfbDN+N7y3qzjQjqltF5nJ1t7M/H7sdbSHW1VjzSVPnsGrr6ZjX68bZTuKgef9C4WDE/wngS2fM8sXjhdHje5VhT5Efcjh8nCnVsHVtXuTZ0gTpQ6LLM3jSiKqlbUjSNWAgcXWEa5eRFxfYkQFdlLg9dri812Z2lxFnBG0dzRn7KPHmz71RGoihgfxahSBISkImCjZ5NrVxYm5gdzGLuHHnsTSI6rs6Jn/FgGhLGJXFe8Is3Bqx3LQpOycgVOKrKK3tzdqdxXZouSoIk49aRz/Y0Yh7l/OHNIx5OYzRZoqgEooS8qHB1FQmJNK+YJLVDr6HKDI2671VXFZ5Zb4EkY1sKyy2LG8utOqhnBX6UoapqvRAaCkFaEOY5r+552KqGpsh8cr3D4TykZWv4ScrPXe5yY7nFL17tceAl2LqMVEqsdSxWuw6XehbDlkVOyZEXE6YFD6cRFfUCqCoSUS64NmximTKGInM4jwmSjON5wsE8IhMlK22bpZaBqklIUnUWiLe6Lk+vttns1Ioiuly3WY3C5GyRd07bAeZZ7YxZm8lZPLXUZNgw37ZaAG9WuuqFT5wtLI/j8YXi3RC/PkhC/gUu8FHGu5lL5+fkk+arrauI00SEfrop7Lsm15ebSJLERs/m1f0ZeVEgipJLnQbPrrRBgqqS6LkGtgq3jwL2JjGmphKmGR9bbhDnBQ1TI8xyihLKUuLlvTmWrtJvmHRdjY2hQ9NQuTpw6VgaR37MWtviudU2n7zUYdg0iRKBq8kEScbTSy2WuyZHYYIXCe4cB2SioqzAtmvTS1VV8aOMTFSstSwcS+f6oElelJiqwucu93ANhY6tMc9go2Ow0rQ48BPGYe3qfKXrkgqBKkmMgwwkmZf2JpyEGdvTiAeTkFhUyJLEgZdya9+nZ1u4us6gZWOZCqKS2B4HSBXcHwWIomJnGjF0Dbw4pSwqvChHVxXW2zazOGOeZBx6KV6SE2YV15cauGYdf++PfeZxTlYWtXiFJOMLCLOC/NQATpflszGx2NifiU6cw3nC8WIcPb63eFJV4TyB+Z0Iyxdx/r3j4mDwEcY7bZ4WGzJdld/M2GZ1hjw8VRla/Hy+jej85A1FvRHc96KzdpG1rk3TVrm+3KTjWKy2THqOga3XBKVMlIyChL6t0XcNnlvtoKkStl5XHDJRX28e5+RlhQBWehbPrLUJEkHT1M560NOi1pnutQw6lsJW38ZSZCZBQsNWKQsI0pL1tsntY59PbXVpWLVkZ5wJ5EpivWOTZgWmpuAoCmEi6DVNclFn111Tp6xKqhIeTiO+fueYm4cztk9C/tfNQ/bnEScxRHlBKgr8NKdjaxxMY24denhxTs/WGTYsdscRtinTclQcXSPOCuZxQdfRifKMfkPn2M8QRcUbBz7Xlxp0Gya/+vQSB35K3zH45t0p39+d0LQ0PrnZ4TOXB/RsHUWWuNxz6bsGji5jnW7a47QO5EEqWGs7CGp1jWM/YRLUDtN3jj2iRDAJs7rVyNB5MAqYhTUBeK1tk5dlzRHxIjRVpmXpiLI8ayMLs7q3bKE4P2yarHdqUqGjq8zj7BF1iyeNx7dbWIC3LA7vRt3ip1k14gIX+POEdzOX3mkzt0gone8fX8SFtln3xBeiwlTrzbEqyxi6hJ8IpkGKoyuAxGEMflZn1sM051Lfxc9KjucJD0Yhkizj6gotR+GZlSZ+kjFoGnzx2pDNjsvnLvcpqopvP5ggITM6FTn4zFafYdNkpW3z0u4MUVTszxLysmTJNUmLWqHoxEsoy4qeZdC1dVq2wu44YqNn0bQ1okzwg70Z4yCjKCsahs7lgcOto4CsgLtHEa/uTflfLx+xN0745r0x3304PRXnEPQcndcOZvQdk1QIHEVBVxUcrc6wF2WFo2vkokBRJWxNxdEVsrzgcs9Flesk2O40YtjUOQ5SXtjskJ5yxO6PQ0Z+yihIaNk6l/sOKy0TU6PmdJzeF1ur18mNjsvV5SZNU2NoQJwVZ/F/34seGROLDf1CJXGBd9prLMbC4+Pr/Gs+iLF5gUdxcTD4CGMRnBcVgMXG/vFJ9MM2XYsT+bGXEKa1dFwmShwV9NPqg62rvLDZpWXpXB82WWvXB4SNnsuxn5Dlb2aSKiRMXWXQMtAUuQ5Yo4CBYzLxUxJRoMtgKBIfX2vx9HIbUZYMmyZ7swiRg6LAJzY6XOk1WHFNnl5po6sKPcdgs2+jILM/i3h2rUkiSj6z3ubrd0449BNkJGxdY6Vj0TB0rq81udK36TX0muxclGSFoGMavLIzwzYV1ro2igppXiIjMfJj/ExwbxShqSAhk+SCMC64fRQQRDn3xyFH84TDIMZP62z47jgmyUuEKHl2rcn1JZeWqWGZCklasTePmIQ5VVUbfd1YavKNuyPGXs53tidkecGJn/H6gc84TPCTHFWWaek6TUvlqeUm/YbFLKnL54koWGnZPLfaJs0L+o5FURYMXIt2Q0NTJPKy5M6Rz+Es5pX9GUdewr4XcevQqwnkk4ilVm24pim1ghFlXd058RLCtMCLc1o6aMqbgX6BMBNnpefHcT7b8/hisHgsSMT7ahv6SUjjXeACP4t4N1nbJ83RxRwGztpAFvN9ERf2vdq5tZIq8hISUSDK2j/npe0Jrx16vLbnceTFeDmUJQwbFppem0Ju9iwahkqUCyhrE7BPb/XrpISp0jJ14qxgHCZsT0LujQLKUubBic/hJOHuccj3Hk55YbPLSZCgyQq744S9eUQQFcxjwecv9ymReH69RceuWy4DUTDyUmxdZeRnTMKEaZByMIsJIsHuNGKapkzCDFmpHYQlKl4/jtBUhUmcYmsKqiZTVrWC0oNRxFbXZhxk9E2dhq3zzHKDta6JISu0LYMTP0ZT5drMUwNNVVjpWMgSPLfaZqvr8KmNFkFU0LNVGpbGr318lSjLUWSJsV/7E0WJQKJWLWqZBpGo4/MsyvCSDFVWWGqZtCydT262sXW4NnTPlObOS5if3yO8k4T6242jdxpfj+9ZHr/uRZx/77g4GHyEsdhoLSoAi8D9+CQ6vyE7T04+9hJ2p9HZZEeCiZ+yPQr47sMJ8wxsQz2TlXRN9ZHr5EXJ/jTGVCS+dX+MLtfvu9qyGLZq2bD7Y5/XD33itOCNI49KqujbJpKssN5xap7D6bX8KGeta2MaMo6m4yU5US5QZIU/uX2CH2UEQnC532S5aXJ56BKkgq88t8I4EZwEKQ9HdZajYaksNQxEVWIpCht9F8dS2Z/GiKJk6FhUEtxYbWFrai2R13b42FqTtbaFa2pQSrQtvQ7qhkzXrjPtkirhGBqmqnDr0CMIc2ZRrSSkyzJvHHhomsJW32WlZaDIEpQSd499okwQ5gVClPQcnZ1xyO1Dj51pwMAx2OhbXO47iKpifxwRZwJNkVhuW1zqu9wb+Yz8FFfXiPO6f7N9uviudmw0Vebz1wd0XYNPrHXpuyZVJVFJFaoioUoSO5Naii/ORe0/kda8kqeWm8yjnNtHHvdPqzvzNENXJfruOeWHqu4J/WGBe6GINQuzs8PmeZznwzx+mH03WaL3knW6wAUu8Pb4YXPp7Vr9zs/dTJTcPJixMwpP+9rruLDatJnHdYzJRImf5IR5XrermDKzIENQ4aUFigTPr7d4brPFx5Ya9FsGqqygKjLLDQtNA6mC1w5mGLLCStNGUyREUbI/jtiZxPQck9WOxrWlZu1QHGfcHwXcOvTZ6jsceAlQkolaXrtpquzOY/7C1R7IMlt9m2mUc/PhDFPTMHWFMBXsTmNe2/ewVBXHUFFUCbmUmAQZlqbSMWEa57R0lSTL+dxWj81e7VjfdQwMXWGr6yCrci1+EWT4WcZ6v4GpytiWTpLlUFaMw4StnsPWwGGraxNkOVFWcvvEr4nYSKy0TNqOxTTKmAQ56z2XTAgUpeYf3DyYcWcUABVNS+PaoHmmJjgOU0RRkp9W+IG3EHjPVwj2JhF3j3xuHszI8/ItPIEgEby6PyMT5Q+tKjyOx9ePH6W6cIEaF9/URwA/rMfu/MR6twF+exJwEtQlRyTO+AiqVvsR7E5i/Ax2xtETN2h3jj2O5imupRDkBbYm8+3tMXuTiCg/VUPSVJqWzseWGliGQsfRCWPBgRdzdegwClI6js4r+zOitG7T0SQZ11Tx0ozbhz5BkvHK7hRVljj0MypqkvGwZSIBDVPleJ6y1NC53HNZbhggw7CpMwtztschJ36t+VwWFRLgxykPxgFrPRPHVDmcRWyPQ7wox9E0ZEVCkWU2OjZdS8PWoG2qBFmBoalQVhiajK4oaBoc+CmqDCsdG0OTifMSRYL1ts08yRFSRcPUcCyFqqwIkoy2q2HpCsd+rYXdtHV6rsHHlhu1G6Ve8xgsXWGz7zJsGexOI/yk4P7IJytLqgpGXsq3HoxqPkAmWO/aSBXEuWB/Vt87Cei4OqsNm6Mg5lLfZaPr8MVrQ/wkx9bVc21AVc1fODW/2eq49J3aNXScvHn/T/z0zN/g7SoBx16tQnHsJ0/kFjzOh3mc63KRJbrABf584O2qzufn7tmGLswYhW9WEcJMECUF4zDFUGSqEnRZoWNqWKrCUysNXFPBMRQcFeaJ4OEoYqlhoqkySVowjVOiUxWg1w99HpxE+KL2RGk5dRLKsVQsFXq2ztOrbYZNi5WmCVVFw1AoyoI4K1lpmhwFNXfOsRQyUbHc1DnwUrZ6NsstG6qKMCvIRMGVJQeo6vYhKooKDK0Wgbg/DsnzWqa1Y9QCHEVZ0nMNTsIUQ5URouLBOCCMM1RNRpdlTsKEvCywFYVxkDCOcqIkZaVlE+clpqbQdTU2uy6TKOfqwGUap4yDlB9sTznxU5Bq+fE4LUjynLKqEKfx3tJk1rsOl9oODUOrD1OHM+4cedwfBTiqxmrXYp5k7E5i7h4HZ/f6SVySeZpx6EUIUREJ8RaewPYkOJNBf6+tP4+vH+8n9ouy5kNe8BBqXKgSfQTww4yj3ove7iKAb3VdTryEeZrRtvQz9YFrg1qyUpMrvrldOx9npfSWSdo6VUjou3Xwfn3P4zjwGHkJEhKyWtHUDQxdotlxeGqpychPOArrMufNPY9uQ2cWZghRcPPI5/pyg3GQMgszxmGGBPRcg+tLLvteAqVEnBaM/ZReo8n+NOLmwQxDUdnsOiAVpEWJrtRux0pLZW8WMgoyupZKmFcYikRSVFi6yu1DD0fXUBWFJC84CmIcU6EQJV1Xp2lqWJpCQwFDU+k7MmEumAUZvaZJlhWYhoytyWx0HK4sOczDWoHDMWUeTAJGXo5U1hWHq/0GN/d9NjsOqahY7djsjANUSWbo6GiSxPY4oqhqFYhV16BhqLy6N2Oj42CpMqkq0+7VakMVFUlR0pYkjr2EpYbJyEt5ZX+GLEn4ScHPXemhKRKTsMCLU3RFYXca8cJWlwpoGBoPJzFemKOoMn23lrM7mEdnpPK+azKLc+Yp3DkOaNrGGYF5YYT2JInShSLWC5vds6rT243b80Z773VMX+ACF/hw8fh8fNLc7dg6eWGjKQkt6005yoN5xINJgCGphCKn29DQFYW744iOrTKNcoQoURXICnj54QxVVfnjW8d8cr1Tm1S6BkFaUFSC9baNokl0TRNNqpNUrqqy2XUJMsEsERyfRKhy7dtyedAgzkrWuxpXVYU7xz7X+w28TPCl5RZ3Rz7HQY6p1C25y02LhqthagqWobDesZEvSSiKRFlCx9ToOAbboxAvTikkaFsa7RY0TZmrwwZ+klNUFaYmc28eIESFpSjsTUJ2Z9GZKdveLGbXCylLmb6rU0k1382PM46DhG/fH/PxtSZeWrLUsPDTAsdU2J2G2JqGpsPOScjz6x0OZrVj8u48ZaVjYxsqu5OIIM65OwpwDY0TP+HawMG06lgfpQI/FbQslb3Te/skKdFrgyYtQ2ee1nuH82MgO5VEX8igL7gG7zep835i/4IPeaFsVOPiYPARwAfpwHd+0oWZiqbJj8iSuabKJze65HnO63rtfDxoOW+pQKy1bTRZZhQmNM36YJFXFcdeSloUXOm7TOOEFkadee67IMFzKy12xhGHQUSSlezPI8pTD4Fbhz6OpSAyqESFbalIFVxZbrLRd9kZBWxPY8Zxyqt7Mx5OYh5OIyxN4fUjj2uDBmlekhcVT6+18KKc/UnEPM3Jcx3XUrFNk2tNh/1ZyrBhsjdLGDZ1NhsupgavH3qUFfQdg1f252x1LdIKVhydnemM1aZN2zUoKRi0TEovoe0YPLvWRlVlRFWgSBLfujfmU5e7zOIURar/vrGf8amNJrcOAz53pcc0zDB1laajkQhBSsnJKMWxNChKToKYrm0xCRNGXspzG236zfogZmu1BOwia5SLijsnPmGas+wY7AcxQ9fB0VRGUl1ZaVoqcV6gInHvJORK30E61afOygJbqg1phg2z5h5M66wdEjiGQlSAqtTPWWnZRKlgfxa/xfTm/HhdjJvHN/4XuMAFfragqzLrHftMqaxj6xx7CdMwxZBUApERxSWFVOC4Gl1bZXsSsdYyKTQFQ4V9Fa4v2Xzrgcflns13dyZsdGwsXeGzl3pnijlIQCnx+sGceyc+XccgKwuuDxq8NvY5mKf0HA1ZkQmTjI9f6yOqClGVfPnZJX6wM2e1bTA+FYMI45xCr9B1iT+5fcydQw9Tqw0jLU1jq68wijOyrMTRFeZxSssyWG277M/HXO3b3NqDVlGyM8mwDZm+rfHq/pyrgwa6knIwrzfumx0HLxG143GUMgtzojRjvdmn6RgcipjtaczrRx4N08BPC4ZNna2+TV5WBGlGnMjsjH0O5zFXh03ujgIGbv19f3KjBRI8OAmJ07rFtmVqfPP+mBc2u6QFXOq7nPgpbUvj2dU2riZx89x9XGz4z8dx13SfeN8fl0EHfuyb8wUf8qLCXOOilegjgHfTY/d+JL2eJDO2UBZayFOGWfHE/vDaIbFWL4gzwbPrbdbbFoYhM2iZJKLk+c1ura6z0SXOBaokM4kyri65LLkGIKFK4MgKqy2LiorjecaxH5MVFTvjgCSvVXdW2jZXl5oURUEQC0RR4McZpSi5e+ARx4IHo5CGqbHZM6GS0BRYajs0TR3HkHl6qclGx0JWFDYHNlGeQ1VvjFuWyosPprx+MGfip9w68llqmOxPE5oGlEXJkmuBVKHKMk1dJ81LZnHO/jTm/sRnFqZI1C09XiJ4Y99nvW1RVRW6LOOnGY5p8MVrA4KsoGPXRO5rSy5NS2XnJCDKBZMgZW+ekObUPZ1FScNUGPkpmlI7TE+CjHmaMWjUShvTMOPhJESXFUxT5RMbHdxT7oGlqRRlxceWWjy11MQ2VJpW7VqrqhJdR6fvmlBBlInavExUOLrKOEyxNJVcQE+HYy+lbdVux5oqI0kVUVr3lwanDjkfRk/ohWTdBS7w48X7nXPnN5a3j7y6T9+QcTWNeZIhlTIHfoqmKFzpuxiqSq9pMGiYNDQQhcwvPjXESwskWWIcpvRdk0HDJMoFRVGr55x4CaKqXX+3xwFpDq/se4iiYhokHE5jNAlW2jYbPZfLPRdL0xAlfHqri2Ma+GlGy9AYNCwMVUIIeGVnxjjKz/6eWZhyf+Iz9VJmUUpJxbBhISGxP4/4xFqLYz/F1eHeKEKmQoiScZSxMwn54zeOaFoqDVOlBJJcsNaxWO/YfGyphapIrLWbVBV1S5Wu4oUp8zhnfxISxhkih7ys+ORGm5Zpcu/E59BLcAwNL8lZaugUwMdWWjycRKiSTMfVaDgan7/eJxYlH1/vMI8zvvLsClEuEEV55kz8eKxe8MPCVHDsJY+Mgw+bHPx+xp0q8xbjtY8yLr6FjwDeq8b0u73mGemYt/YVZkUte/lgFDIP87N+8gWCRHAwj6CEfsNElWU6rs5zKy3WWza//LElclGy1DKZnWYUXtufc+zFvPhgTF5CVtTOybMkZxxn9BwD15BZ6dgglTQsg0mUIlVwc28GwPVhC0NXuLnvMQtS7pz4VArMkpy1jollyZz4GQfTiFmQY+sy15cbfGprWNvU5wWiKJiGGU1b58rQomvrjKOMKBUESUEFfHyjzZGX0Hc1wgQ6DZ2iqg9KB7MIW1e5NLDZ6jlQVeyMI37v5YOaU1CImpysKWiyymrb5shP8XOBjIRhKIiyqnvvDZW/8NQypq7RbZjIFSw1DdY6Fhtti7/26XWeWm7WZDdZ4taRxzTM2JkGHM9TticBbUsnynPk04NXnAlsTWXgGgwckzcOPDr2m+ogy22LzdNycCYqNEXCNlQqJB6chOzPIoI0Z9A0eHa9Voza7NkIYNg0zmRnh4267WjRp3rn2HtvA/uHjM/zY/5Csu4CF/jx4vycez+btTvHHlFWkGQFHVdHVWQu9x2O/BhJOjU+09Uz/pkoSyYpXF92kZGQFSiKgqysSbLbkzrm3R173DkOEUWJrslc6rt85bkVNtoWV4c2HUfHMVRatk7TNk4FJerWmjgXzKK8Jg4j4ecCSZJYbpoMXJMoztF0GV2CQpQceAm/9/IBO+OIRJRcGjR4br3NRtcmKwomQcbBvK4+hxksNy3GUcalQYOWoXPip+RVSRAXLDdNtnoWLVtnHKRIVYWiSnz+6hIFJcgKB9OYvCgxNJUsL5nHtYGmlwqu9x12ZxGH84jlloWlqrQsjawoSQRMgoT9ecL9ccif3TrG1lTWOza5KPl/fHyVpYbB56/1CNNaLUpTJPKiZHcSveW+HnsJ8zDnwbgml78bj5kPKnnzfmP9RfLoTVzU5z8CWEyUYy9BU+VHWjTOqww9qY/7na55MIvxUgFVfdo+9pJaqlKqK7WKXLegRKJ8U8D+9D1f2pmgyBKaIrjebXJzf8b+OCYpC17Y6DJLMnJRsRtFUFUgSRiqxK0jH0NTaRXQtVUmUU4qBJqi4iWC68stklRwfejy6v6czY7Nd+5PkBSJw3lcZ52iFFVSeGX/BEmREKLkC0/1+fzVPkd+wkbH4eu3jknLkq5tcmnJwdAkXj8MGTo6pqmR5iWjICXNCj57tYuGxHLLRJbg2fUWx16KLkl8f29OEsHVVNByNHYnOZJU0XA0Pnepz2sHM/701gnfezhFkiqKvOL6SptpmKLIEq8fzenY9UIVJQWxIbjquszCvJaUy2oDsV95dpmX7k9JCkGeVwybBh3XYKVls9lxmccZ37w/Yb1pgFSx0rIxtVrxY3sS0LMNDuYxUimTFgJTV3l2rc2r+zP6DYNplJ31+i/GSi5K/ESw0bYAaJsaoiyYhhVt22ClbZ1lgqSqYMUGUVQ0TfWR1jZbU9lJYy7rzlvcUY+9mtw+bLy3bM7jvJoPsp3uAhe4wA/H+Tn3w3huC2Si5NhPyPNafWgeZ7QtjabpnEkdt22d+6MQQ5EQZUnH1ug7JlM/panDPBK1c30qmIc5g7bKg0nAZ7f6RKkgznJMuSIUgo22TdOuFXe+9WBEnBRc7inoikxRFnx6q8PTy+0zNR6r1p6m75oczmZESUGg5piywqt7Mwxdo6GrQEXfMbl16CMoOAlTPrnR4ePrLZ7f6ALw3e0puiKTZgIkjaMYoiOPJCs49mKWWzabbQfXUllp61SyxM1dj7QqcXQNUcA0Tikq2Oo43DrxcAyVL1zuoSpN/r8/2CXNKsZhylqa873dObIkk4mC9Z5N39F4ed9j6Bp8/+GU59bbeFHO9ihgs+fyxqFH29Fp6BphLlhpW7x+6CFXMtdXmmiKXLeh5hVjvybwnkGCWJQ0rdpfYSGLvjuNyEX5FhWhMBXcOvRY69QtpT9KK9F5Q9YncdgW42wxNhdbk1mUUcnKBc+Ai4rBRwKLUh0SbzlJH3sJ+7OYWZS9p/aNjq2jaVLdUiK92Ro08lPunYRALV+20jK5sdRg2HjUAn2he78wNkOCSOSkWckru3XA/f7uhEKUgESSCjqOyUrXxlRlxmEKyKy2DJ5ZbiNLFV1bZeynVJXEiZ/xzGqbUZAxi3Nu7s/w4oI9P6LrmGRVwVNLLRxN5dOX+zyz0kYUsD+L+bM7JxRyhZcI4jzH1jQmQUomBDuTiKtdh17DYOpn+FHG/3ljRMcxuLbUZNCyuLnv8XAccvvEJ0wzFKBtm6y2DQxNIhcVDUNlfx4xDTMcQ0ZTJORK5hOXOjy17PL5qz3GQUqQCCQJbgxdbE2mbdcOyFuDWi3ipe0xr+/PqUqIshw/KdBUhUzUjs0vb0+5dZqJX2tbiLJ2CaWqSPKS2anjKIrEZy/3udS3aJkGpl5Lyq42bYqy4sZSk1mckYuSk9MxMw5SClHy4LQCYJsqz693eWa1zeBU6eN8UFblWud6oWK0kCaMcsHVoYNtqGfj8dhLmEbZmfLV4+XodzvmF4vPhWTdBS7w48X5Ofdu2kUW7ScHs5jbxx7784SiqJglGX6U88xKm2uDJt2GwSc22rRtg9uHc0anuvuWJpMI6Dd0TF2ma5t8cqPNsGHimiqzKCPJS5qmhpfmLLsWkiSx2rT52p0THoxDJmEKgKbJ2IbGG0c+d489/vC1Q7wwp2GrPL/RRVPqWGxrMsuuyYGfkBYVVVmy1Db5+Ss9nllp8dxmE0vVqCjRNYlpmLE3qzPs1/sW+/OIj601kSqJrgmTOGOWpNw99nlld4Jtanxyo8OgYfF/3hhxEqfEWcFK0yRIc4JUYKsyYV7U8tBhxre3J/SaBs8MO1imSsNUkDUFPyn4wcMJiiTjaCphVtJzDCZhxqcvtTGUuhK90bXRFQmpqjich3x3e0yUFLx+6BMmOfvziI6t07bqeylJYOm1oekCw0a97q+0as7IQnnoYBYzi/NHXO47tk6cC5Zatbv9j5q8WYy7WZSdrSWP40lVhfaFkt0ZLioGHwGc79lctP8sDKOQQJKqRzL67/aaz6y0H8nCdmydAy2iKZ/2n8swaJgEeXX2uoV/ga3VZlsA25OgNj5bauHHOcOWyXcfTJEkmVf357Wyj6UxaJp84cqAP7t1QiLqbHm/4XLoRXQtgyAVuIaCF9cHj7KoiLICqgpTVcgqwWbbxtJUVho6396e8ImNFoIKXZG4PfL43oMpUlXhJwU9x+DGSotpFHPk1Qee5zc7+JkgzAoMTUEoMmttm915jCgqglQwDROSrKRtqqiKTlnFPLvm8md3JmR5yUmY8/95aY8rvdpvQJRwfdBgFuWYioIqS8zDjGHTIjp1Sq4UievDJkdeQsNOuNZvcnNvRpyXxJng5f0Zbxx4jKOUp4Ytnl5psjONGc8TDEPlxrCBY2qIU7WfwzhlqWnx2sEcVZUZNgyEqLiy3ORontBzzLOgudaxeWW/dvtcHAglCVRNggSStODBKOBzl/tnBMKjc0Y2b1EjsbSzx720YKNjkZclbUtnFmdn47Fj67Xb5unYfDcZx8fH/AUucIGfPN7NfJyeJinyoqTrGpiawq1Dn4FloGrSmVpN3zWJEsEru3McXSctCu4c+uxMAooKRn5G09AxtITLAxc/EczCnFkwxzVVRmFK1zY49GN6js7/+1v3EUVFktcu89MwYxqlHPsZl3oWf3zrhI8NXe6OAr7YHuDoKjuTgHGQ8fRKGwkQVYGpyqx1LYSo17uGpdJvGIzdjDXVJI4L7o9CgqQAqeJ/v36CrSu8+GDGP/rly4x37hJXGpqsUFQlQZrjGhrTOCcpKpZbFuMgw9AUsqpA1RSOTxJcrZZZdXWNkyCkkWt898EUx5b55HqXtqvTt03mScawYeKlgqGr8eqRzyxKWWk4gExZVRiqjK0pfGy1wcsP57x+6HF54PL6ocdnLnd4+eGcZ9fbZ2tD3zXJRYkXpRiP5VzOdyccnUpP50VJ3zHe4pN0fdh8XyaV74h32Ns4usr2JDhVSKrOPseSpX0w7/1TjouDwUcA58tmmio/0lbUtt7/KflJwX5BQu2cklMX5bnF+0VJ7UOQiIIX1rtkZZ2V3vciPrbcQldl9iYRW32L/XFCo1VrRk+DiqRbQAWVXBGkOWun/AMFiUmc4OgaqSgp5XpjfxKENEyFIJGwdYWBbTBsWhR5xSujgPVOA0mqGDg6d0+C2qSsY7E3TfjERhNLl8+C8zhMWWqaGLJEXBQ8HEeEWc5za21W2ibJaelbiBJNUVGMgs1uE9tQeHhvwrfvTckFWLqCUlU4qsKDccD1pSaXBg2kUuJP7x1x/yTk2w/GGKrCwDVp2yqZqPCjnOM8ZR5nKBJMg9r9+Hge0zY01psWLxUTUlGRFSWeyJEq8FJBS5LZm8doXoJmKKy3bC71Xb5+d4ShKlDBPMzoNXS8TMI1NURZ4ugq+7OIV/ZmWIrEnpfQNDo8vdo6ayl6vZpz8zDGz3P2ZxEtW6dz+t/5cq6rPRqdHV1FU2Su9GrVojArmEUZw6Z5Vnaenv583ljvIptzgQv8bGIxtweuySzOOJzGPLXcIMlKWpZOkNRGnHlecufEr71lKHl+vcveOOTYizkMAUqO/RxTVbh3ElAUFZOwViJKRcFnL3XZncbEeck37o4okclFQdfV0RWFsR9xMEvoNA1kSeYzlzq8tuchKRKvH3g8GIUEccaxn2BqClVVoSDTtA0ejGLKsmS+KygpaZkq/ZbOU/0WpiGxO6ndlYdNnY5tMA1SmrbG6wcBYQ6ffqrPwTQmTDISUVEWJakogIqlZu0H82AcMvIz4lSw0rQIUoGpSyy1LZqWTFkplEVJp2FTFHUm3DIVskJBVCVrLYubRz5hUiJT/05TJMZhxlGQcGPYQJIkZqdtXKossdW3aBk6f+UTa+x7EY6unq3Vt088LEXCy+oOhEFLeWIr5+LePsnh/sNI5CwcmBfvfX4NWbhqh5nAsJQzH4NBS7moKnNxMPhI4PwkPd/vmRe17fwHMSGDRPDSzoRhw6TtvHnqb9s6QV6dvd8oTHjjcE7XNs407g/CiKZZT1Jd1bk/DoizgqvLNcFVULtV+rHgJX+Coyq1mZoi0bY1glhitWuTZAU3D+b15j2tS8v78xhDU5Ekib1ZjCLLJHlBmBYkUsH/64UNbu7NiUSOLesYusJz6+3a8ViT2WgbvHrg84vXe8ziEqiQSuhaGj1b5VLPZqVj83s/OMBLMlq2ziwO6NgGW0suHV3l9TfgaJ4wjQUrLRPL0DjxEm6sNHFNlav9Jt+8P0KXFMZBQJzlaHLtZaDICjuzmFFQH6wUSeJPDjw0XaWhy0iyzO485lLX4cZag+ZMo9vQaJsaVS7x1HKDogDDVEgSgY0EVNwfBViqxt7MZ71tI6q6QhJmAlnijHvw4DgkEgW704xcFIiyxDVVXLNuAVNVCU2WqCp4MAroOAYHs4hrw7oaNIvqBXmWF4+MlzATtYeFUh9UF5mdxQLxeMXhogJwgQv8bOP83Ie6ItnUNJp2baC5PQmwNJU7Rz7b44BpkLM1dLD1Or4feTlhDtvjiH7TIskLXEPlKIhRpIqHk4ima/Dqvsdqy0IUBasdhyMvpueaXOk32J3FNC0NJBnbkPjspS5JXiIpEgeziN1RgJ+V5JlgpWNx82CGhESYCVbbDrYm8WASkQtBmObM45yGpZEUBc8v9ZlFI5YbBm8cB7imwvXlJvNY8N17UypApeKLV3t8Z2fOrcM5G93683Usg0sDjfXKRqIizUtMV0emVoaL0xI/LdjsNkiKElORKUTJZs+qicBRjp/k6IrCnpfSNGTyQqJtqlweOBiqgm8KVF8iykqmfk6vodOydFqmhh8X3C8CnlKbWNqb2fbdWYQfCR5GCX72phfA45yu8/d2FmbcOvR4YbP7ocpQP75mPGkf1LF1qIoLH4PHcHEw+AjgcV34xzWGF3hcd3jxu3dDAN2e1Bn3Y78u32Z5zvy0fe/8+/UbJh9bqVuGokxw82CGa2hoimC9YzONMlRJ4nAW07RUTE1huWFx5McESU6YCtq2zsppYE/yktWeRd81uX3onWYDSq72bbYnMVd6DSxd5vWjgI22haHIFKdlX0tXuXXsU5QVQSSYiYyygqM8wTVVhivNejExdYpKpiwF90YhaVbw6cs1EffV/TlfvzvGiwSRqIm//aaJrcoYUi29aiogSbVyTypKBk2dUK9f+5nLHf7v7+8SJAWzMGOrZxPlBq6u4ho1t2EeJKSayrWlBtMoQ5QwmYUIt5boKyhpmCrPrLSBGSsNi0HDIhUBeqGBVOFqGpproSnwvd0ZvYZOmGV88eqQIBP0XIO7JwGmpqBKBUJ4HPsxu9OQ9ZZLaZdEqUScv5ntmUYZLUvn2lIDTZZrQ5xphGtoZ+1hC1ds13wzK2MbFQfziJahn3FPzsvenifDvxOB7N3iSeP6Ahe4wIeP9zr3Fq2meV5XCTRZRldkXtmfsdQy8eIMUQpcU8M4VSlCgrwsWWpq+GN4MI4YRwUqEBUFlqrQcnQsQ+XlvRkrDYM7JwFfuNonSQv8VDBsGEyijOvDWvVorS2TU9JzTOZxTiYElqpybxIQnfr2ZKetlfdHdWX6wbFHw9S5sdxg7KWchCltQ8VLMk7mKb/7vT1MSyHNC3YmIV1HxzZU/ETQcBS2R7DatujYBoYCl3suu5OQlqWxG8U8HId1C+96i4Npwu40pGFotGSNvKqwVYmdSYSuSmiKSm5XqLqCdloVXmsaTJOCSy2Do3lK31ZY7ljIsoIqy2iVhKXLVBQ8mAasNg1sXcfSZe4dh1xfatSk4lxg6yp3jj2qqmIap1wduNzZf9ML4Pym/PwY6Ng6tw49FFliexLw7Gr7XY+h8wIpTxpLP2ysPWkfBJDnxYWPwWO4OBh8BPD4yfntJtCTlCMWBFBJqqDiLapGi+vZukqcFPTaNel0drqBPfETgrw6CwpRKrB0heWmxUmQAgLbUNjqurUahSixDZX1noMfC+JMMI8EFTDyU7KyxDQUbFNDUWQ6joatqxxOY4atOgPtJRmWpvLJjTYPRgG6qnCpZyFVMooiseo4NMyccZBx98gjExVeJJjFKT3H4NhLOPHhtf05P3elTyXVDpSvz2J0WaKQK8JE8M3tCeMgxVEUbFNl07XJi4qGrdYHD03lew+maDJYqoygOi09l9wf+WiVzB+9doKraxRlxXrPwtRl8hx2JiFpXtSft2vTsTSeX29jmgrfuD1iEuqsdh16loagLpHfPPRoGCqqLHM4i9nouLx+4NEyFe6OfD671efhNGQSZYRxzpeeWUaSJJ7f7PLK/gxVqphHGV3XxE8yjvwEU9NAhr9wfYkf7M54ZrXN/eOAUZSgyzLjKOOF9S4dVz8bB1R1q9C+F7HVdWvzujw/y8rc259RlRU7o4hBsyYGnumWH3u18gc8sXLwfvBuFVEucIELfLB4r3Nv0bs+TzIqJBxd4bsHHlVZVxQv91xEWTFoVgxck29vj0iTgrajc2XQYL4PliYzCerkji7LZEXBJ4Zt7o8CXtjo8IM9j422xct7M/qOAVXFxM95fqvNG0c+W6ccqXkq2B6FdB2DlYbNIQmfu9ZldxKx0rZ5br1FkhSsti3ujwLyomLfi7EMFWSJj6+1mScZrcpgbxZRlRLpseAkSGhZGg9OQn7uWp9ZlBOkOboMQVqQE/PxtTYv784wTQelhLwq2RmnQMWL9wsGjbpldx6nDJoWWl7w7Z0Riqri6jKQQWXjRQFXhzYtRyfNK663FE6CmM9tdZlnGY6u0TU1okJg6gquofFgHNMxVeaaim1UHAcZKy0LXVEYBQlbHZesrEUgJlHGU8MmRVlin9tNnt9jPD4Gnltt89LDCX3FeJPr+AQsrrHgmS2STW83ln7YWFuQ4J+091n4GGgXiSPg4mDwkcSxl3ASpO/oOHv+d4uJmYvyia9bOBdapoKm1ASxtq2zmGMLTsM8yYiSAk2r3W9XWxarbevM6fJgFuMnGevtOgu0P47ICzA0CUfWMWSJtKhYa1tsdF2oYBQl3D7wCfKczXZ9uDBUBVWVCFLBUsvicFZzGqIsZbVp4ycCSQYZiTgvCZMcXZX4+HqXSZBwfanJ1+4cI6sy26OQv/yJVf7g1X0mccZSw6RtGnxvd4bICkRe0mpaPLXm4gUFRVVyMk+4uuSyO4tRFYm8gn7Lwh+HxKJgfxaRFSWzTLBpOoSZYL1t0jA1lpsmh15Cx9FQZfjspT6jKIWq4qWdMcgK622bGytNLFXlwTSgquC2XxuJFac87yAX3Nyfc7nn8I37Y0xV5ebhjLap0dRV1joWh17MMyttsqKuOMRZwXpbxTJUVFUiK0pKAb2GwSzOeG69zb1RUB/W4pxJkCErFU1d4zNuD3gz87+oJpx3xV5kZW4sNfn9Vw9Ya5tsT4Iz4ll+erCIsrp6dD57CHW72izOzuRx34uC1ltI9xe4wAU+VCzmLxU/NBMbJII7xx62oaJJMnlZInK4f+zj6gr7YcrTay00VabrGMS54LV9j1f3ZpiqyuWhiyJLGCpossyVgUnbMvDTHEWSibOClqnxykHEL13r8Z2dKZcsh/vjAD/OaPdcXj2Yo8gy4yjFNhQmUcYsTdFUiVcP5jy30qLTMPj5KwNe3/f4+p0xilTxzEqLzmaH1w49Lg8cFElCUWTCrGClaXMSpGx0bN449MnyElmCWycBv/TUkL1JhKFIpHmFJEPDVDjw6rZN09BIsxzb1um5GmGcszOJaRoauSjJy5IwFRzNQ4K0QJEksiyn1XIZNlx2JnM2uw1mkUBVFFIhSFKZYcdiHGcoisTxPCFMClStYr3j4ugKVAUN2+Ryx+EgiFGo27oqKo7mKVTwyc0u2ans6ChIsFWJV08NTWfHHi2zrhY/qa0oK0s6jkGUibfdxJ9PEumncqdbXfcdJdXfjST12+19LvAoLg4GH0W8DVv/SX3cuiqfTaDdafTE1y0m5FbXZXZ6akdTaOm1KtE0LhiFCZamomllHTR4dHPXsXXuHfkczRPCuEBWJHyRo0sKSy0TSZLY6jnsTWM0VTl18C2ZBDmTMEVRJPw0o+8ajIKUfsOkbeq89HDCRt/mwUnAStMizHMk4M5JiExFkhWsdByGTR1NUnh61eX2kc9S22IeCpbbFn/4+hEH84RpkNPSNXanEUVR0XdN2o7BkRfz/fsFHVvj4TxBpuIwyHhupYmtK5gy6IrEerv+Ho+9BFVReHrpNJteliy3bJ5adUmyqpYJbVk8t9ZhqWWyffOAr75ygH/KB0lWWnzuUo87I5+8qJgEKYYmowNP9R0Oo5Sxl6IqMuMw4y89t8wPdqbIskxallxdcomz2ofhtf05z290mIa1K3LD0agqiUmYMmxYTKNaMrVlauxNI9xTk5+1joWuSkRZQSVXZ3/XIui2bZ07xx6t0/YgiTezMpO44Oeu9jiaJ2x13bNMDxLYusrANR/JFEVC0NJqubu8KKkq6cxx891gIaV7UTW4wAV+fFhk/89LU74dticBR16KpmZ0bZ2qkohFzo3VJnePAr5wfYCt1ao2dw59XEslLwSDhoWl1xXakzBlloKiyDiGTnXqMp8IgShUbh35AMyTgl+4NuS1wxkyEpf6DVq2yiTKmPgpfdvlOMjpujqiKHlpe4ouS9w+9vl822Dsp+xMQ763M8GLM17b89jsO3zmUo+ldp3J/9a9EXFWYOkqTy1rbJ9EXBraHM5qrphraDycRHz5Y0MO/JSuo7Ezg0koKCvYHifMkxRb01hD5tvHAeMoZbPrIMt10iZIBUfzmEmQ8uxKG0PX6Koy14Yt2rZOv6Hz4vaYvq2TFQVbHQfLUOhZBqsdm9vHHkUpczgPsQ2NSx2JQcMizAs22g55WaLLMg8mIUlREWoCUVV1+xZ1XF20goo8Z2DWjtKmoTEKE/qOeZaZP79pP59sfLtN/EKhqk4SNc/GzztxEt4VD+19qjB+1HCROvsIYuE4e95b4Ed53WLiL9QGMlHy2oHH+FQ+WDttqzn2Eq4NamOUEz99i75wIgqqCrw8J8gErqbRcjQsXakN1Pz6+dMg4wc7U/707jHH8xjXUGmbOq6lstyy2OjVbo3fezjh+ztT7hz6VMA0yonzknujkCwrOJgltFyDJbcOlEVZ8dqBz/1RjCpJXB+6pKLENWqVnvWejWuoeFGGJEssdy2qqqRl6+hqrXx0qW+TiQpDggfHPlEm8HOYRxlLDQNNrbWsL3Udnt9q8dx6G1NTmSU5mqTycByyN4vYmUQoKkSZ4Ps7M/bmEcXpprhja9wZ+TQNlYah0LAUKiBJBW+cBIxmKQdehKnKLDdNpEpi0DBQJAlTkRFlRZbXSkeiKvizuyMUWWHYMrg2aDJwDdbbNn6Wo0oSflobBg2bJvdHAa6usdK0eXq1Tc8xaZn6mReFOHqEi2gAAQAASURBVCWYz6K6FWAeZ29xoHROZesW5LOFxvmwYbLUrFUrFgeFRaZo8f++azJwjffcC/pudNTfDpmo3T13p291+LzABX5WsOCTJaI+5P+oY/29zLmtrstS0+By3z2Lp5cH9Xz/xevDM/GKeZwhyoKDecKgadI0dT6x1kKTFKKsoKzqGOSaCpd7DQYtg75r8XAeninHUVXszSNAoqSi3zC4Nmxiqgoty+Br98YkWc79k5C8qNA19dR12eLBScjDWchay8RQFKpK4t7YZ28a89L25MyE7Y0jj5MwZW8WoUkqUV6SJiUvbHT47JU2/YaJJkm8duzzqUtdek2DHR9kBfbGIVIl0CQJlQrLVHBMpd7glyW2qZDmJbah1GurpYEEz660yEu4Pw7QT1tWDU1lEqf4seDuOMBLcl7Zm3H7yGOladOzDJqmwSRI+d7uhINZXKvd+QltW8dLC7qWTpwVxGWt5BPl4mxs1G23tfeDqcJmz+bYO00Cnh4Ig0TwzXsjZmH2yGHxnTiLHVvH1lWuD5sfaIX3/e59Pmq4qBh8BPF+FV7eiauwyBa3LQ0vzurWobTmGgxaDgezCENTzlRqzp/aF2XDtq0zChMGtomhK6iKRP+0l/L2oU8icjqOSZJVjIKUMBaoKiybJrJyWkUo6/Lmg5OQr907IYhz7p8E/MWPDUmkguNZQsvWcY0SQ1dIMkHT0vDi2p3y4TjicBaiyiorHYuVps6Bn/FXn1/H0lX2JhFCBj/KKUpY6Ti8uj9FqSR0XSVPcwZNg1mYISNx/yRix4dkd8ZJmJHmJSdhSlFV/PyVq5yECSM/YX8e8/LetM7AlxWKIvHagYcmSZiawnrHwdRV/urzKxz6KeQlRyLh42tt+o7O1++OWOrYKEgczhIMRTm1ui+I85KRL5gnGcsNg5ajUZHhWA5H85RBQ2dnErLRs5mdtoHNk4y1ts3eLGLzlNwdZYKOqfPqwYxZnDFomCiKzDzKuX3ssdq0SfKCplVLkA5c42xBz8SbKZrzUnGuqb5lXD2pD3SRKXq/KhY/iqrReZ6NplyoI13gZxPTKCMrSk6SD0ah5b3MOddU+eRm7Qi84Cqd18BvWadZZqBh6hDnvLrv0bE0vrszpawqLF3F1aHvGNiGWq8nUcLRPEZBpqhKBq5JToko4GgWY2gK+anbsqNp7IxndXV0FvOLV/v82f0xzy432eg6jIKE3anPjWGLtCj4y88t8z9fO0ZXJNK8rnJ/5/4YSYa2Vauzia7Fg4nPPErZ6Fp0GgY3hk12Jvc58mJiUfDVcp+dScg0gf9z64RBw6IoAEVmvWcjyoo4q6+/0nAYhwmiKrkxaHBj0MQXBZ9aa/Lyvk+QpURTwSRIaVkGpuLTtmzKskRG5pU9Dz/OOJgkfOHGgKalI6sSZVWRZCWTKGWpYZGXgjtHPp+93MWLM2ZhjqUrxHlBlBQce0ndSbBYy08xj2qfhTgTXO7XqoJ3jj28OCcvSi4P3Le08zyJ8/hhqdBdqNu9O1wcDH7G8X5UId5OASBIBHdOPFqGzlrXftQ98DRAaKpMv2GSpDmyVMuV6qe/GwW1ulHb0hn5b/Z8H3sJYVoQJDmX+i5TP6fMBZdbtdrNKEwQZUEqKkRRcm25SSdIyYoCXVK4OmwwizJGUVKr42gqsVWw1jJ5LcpZ61pkomK9bREnBSunh42XvAkNS+fhPEJVoGnUh5FIlGhSwfY4ZK1tsdwyMVWlzrK0LMZBits2iLOcoiyJslr+NNqZ0m4aNHUFP4IoL5DlEk3m1Mk3Z6NlocgSa22H7+5MaNsad44DRlHOLMxoOzqmKtN0NA7GEdeXXD53uYtlKlwdOGQCqkrmwIuwNYVXD+a0DI2llsXxPObakkslQV5WdF2NlY7NzjggTDOoKgxNpmuZdBwDVZZ4erXFt+6MiYTgqy8f8omNFnlVYSoKtqHwwnqX7UkA1Fm9vUmEKEuEqKVbm5aCVNUtQPtexHrXJsrEWTZoQR6enasa/DDL+rdTtPhJqRK9m9L3BS7w046OrZ+1hHxQCi3vd/1ZPP88T0FT5donh4SsrNjsWNw+CelYKvM0p21rNFVo2ApRUvD7r+wzilI0WSE+9ZxpWLW06eE0xrY0oljgZTlXlxvkRYSuK+yPI17Y6nBrFNCxdOJTjtP3d2dIssz9UcDlgUucFfziU11GvqDfUEkyKMoKISokqcLRVI7nKXsiYhwJpmHGX2pZvHHksd62eENXyfOC+ychdw5mUMJW1+ZgnhKkGZ9Y63LiJ8yDHC8v0BVwdB1dk3EtE1FJqErtaO9nFQ8nMWFa0G/U9+3WsYelqzRslaWGzaEf0pZ0klzgWBqurrDesWhYCtcHLqMg4em1NsfzhFFQYJxWt5caJklekIsKVZEIEsEoTBg2TRxN5X4sWG0aZ/dQVyX67pvVgJatM4kyLvfdJ5qqPk4aPm/E+naVhcdVFT8I1blMlEziH00B72cFFweDn3G8H1WIvCgfUQBYbOQOZhHHXspESbFPW0DOT87zZWOR5zTOrSvD08048EibyWLjLwGXB+5pKTZCiFqZomXoREmBKCpatsazqzVZtucYZwZtsyhjnmZQSYz8Ohu/1DD55KUupqYwCXOmUYqu1JKhqiLXlQJTo6wqdFlinhR0TBlZluhYJqKss1ZHfspG22R7EhNmBcd+wvPrLY6CDNtQsFSZ24c+UZLjaApBmBNIOYosM40jbM2kpUNwSqDquSZPr5nIMliKxFdvHjAPclRZouOYSFQYulZLvwYpmwOntqrPS+4ehTimypW+Q9N28eIcW1fZGjq8vD0D4NZBQCYKSlGSFBUnp6TvCiiKElWWiQqBlFfszmNcXaWgZB5mpKJEkmtVpa5pstJuse9FRGnB3mSOZQastW1EAVBvlHuOeUYOW5jXrLXts8C6cJh8dOF4slfBeTyuSPF+s5dPUjp6rzjPs7nABX5Woasyw6aJqX5wCi3TKCNMBaMgeVdtIY8//3zryZlbbcel79Sb00HT4sXtKX3bZOTHxCUczFNMVfDy7pTiVCHNNGS+vzPl2pLLoGGSVyWmphAnBUfzhP1pXCegsgJkibvHIZahIIqSp9fr9teOayBEwSc2W/hxyfYkpKwqUlFyqdejqDLCuJY/1VUVyyxRJXBskxPPw88L/vSNY17Y7GCpKp++1KGS4Nt3xwybJt4so21rvLw3xzFUHkxCyhLyssBPMlabNgPXwDQUJEq8KMfLCgytwo8ikjynaekYqoJrasRZzv4sZ61rk4kCBYk0ybg+bLDRcWpeXizQFAVZk9kauNiqyrOrbb6zPWYeZWwYKnuzCEvTUK3awHTsp2SiOhMUMTWFnXHEPKsPAZYpPWIqpikyTw2bDE9j7+PGY4/vIxYV2kmY0XO1J6ohPpKUhA+EP7YwY73goV0cDH6q8H4yn++Gqf+k559XAFhMwpZdKw20DP0tWsDw6KZr0Ws5izIcyzj7vCd+iqMpSFJFy9RPqwYVclW/pm3Vkqav7M243He5feIxjzIcTaNjG5yECS1TZxbniKLk1pFHktaOyIOWQZDmdT9kJrjUd3F0ldsnAZaqcOTFXO23oIJQCLKyousa+ElBRUGQSWy0bVqmjqurHPkx4yDF0BRkCSgrnllt89lLfV56OCGIU/7PnTEdW6eqQJFlSmCzY3F/5FMUJQfzmKYCH1/vEKQFyz0TuZK40nfZm8W1R0AVsNm1+dKNZX7ne7v4ac6xF6PKCt++N0GRJE6ChCQruLHc4uX9OZ9ca/Hxqx2gdpN8+aGHLIFtavipIMwL/DDnrgjIy4qGobG22sQ1VKZhzuv789pFWZFZ7dhU1K0/RQlVKdUKU6pM5Bf80RtHDJsmq5JF7pRsDWzmYc4kyNFkmWdW22fZvVlUl+UXWZ5F21CUvsk/WWRlHrWlfxTnCckLJ+T342fwKIntYnN/gQv8ONGx9Vq15tTJ/J02XIvqgBfXRpGLquKdk1rlJhe1t8EsyoiEYKvj8tLDCQO3zkibhsobY3imLBlHBU3T4CSIcB2TqZeSFiXRbsFyM2WlbXG55yBXdXX11f0ZTUvnOMzQFIVYFDiGRsept0hbHRftqTru3Dvy+N7eHBWJ++OQhqnz//vBHpcHNuNIUJYSSBVdS6Pt6PzC9QGaWrsvr7RtFFkhyGuxh3ki+IsfW+LVPY+w8HjtIKCoKuZxxvVhi5Gf4EclGx0HSYK9achnrna50msyCRO+fn9EXhR4SYGmyPRdgxcudcmLgiSv0GSJOC2wdIkH4whZBiPOMZYkRkFGkpYEmWB/HnN9UFfoIyFQT/0jvnZ3xAsbHQ7mEc+ttRm4JvM4I05qLtlq0+aNwKNnK6QCdsYRT691HtnAw6ME9Mf3DU9qJc1FSdvSzg6nj2/8n3SY+FErXAsz1h/1Oj8LvjkXB4OfIrxd9v+dTMjea0/d+ecv+rkXk3DYMM/6Bn8YFnKlbbu2st+eBGiSjCRVzJMM9ZQTgFRXFP00pysM7hx73DvxUaS6ZGuoCrqsoGq1Y699SlwtyrJW0pFkHk4DmrbG026LfsPkpe0Jpqrw/d0pt4980qykLOpDAEqFKEtAomGqeGHC9jjmmdUWjinz0Ks5CLdHfi2tKklYqoxtanQaJrM4q4OcJPPVm8eURUWUC55ebqKoClmec+ynrHccjv0MJIlRDJ9vmxSyBJXM3jyiKuHq0OHucchqx2alYfP6oYepqZyEORtdh5MgQS5ljsIEP8lxLYXjIMHRFX6wN6ftmvzC9SG/8/1dKip0WaHrqDh6g2mQMAnraoefl/QdnS9cHZ5+/og4sbg3LuvDABKfu9Rj30toGyqyIvPcSpswE3z93gndU63v1a7FtUGd9bt5MKMoKqZhdiYB+ngvfsfWz9oAbENlnMBrBx7dhgXU8reZqKsaYaY+Ekgf5xk8Xl14t6XkxePnqxgXuMAFfjzQVfks8//4huvxttVFdbB/mlFeHAr2xjH7UkzH0bEM5ZRrIHH3uE6+aLLC5670+PrtE3o2HEwiXtjsESRzrg2bKIqM1pLI04KGYzBo6Kx2rVo1x9W5cxiCVLA7ibnUs9FkmaQoaBo6ilpx+yggyUo+d7nPH752yO2jgDQvCESFpUocTAN6jsk0zFlqW8SZoCohygXLmsXrhx4rDRtVkbjWO/UAiOHlvTkrbRtVVvjEZovf332IXhYkWcHVQYMkzzE1mReudBl5OUdehILE12+PWWnazNMcV1XJsoITL2We5PQcnZ2TiLWOxdE8QlUV0qLAkhRcVeHIT7Blhe1RyLWlJm1XY/8ghgqOvIRB26Cnm7imwv5McLlj8dLDKcsNk1f2pnhRTilBLATLlsv+PMI1NTQF0hJUReLm/ox+w2TYMN9zYnIxZs5XaJ9kxvpOScn3C12VWbK0d3xOdspHeSfJ7J8F35yLg8FPEd5ukn3Y5Mh3Oly83elYV2Vaev3/WycBUVqgqSUrrboHfeSnjMJapWjkJyiyxINRwFLDREEmKwueWWkT5YJpkGGqCoezpFb06bmoioRraBzOY/qOSVaUHM5iljsWz622eePA486hhxAlW32btY5FlBYkRcm+F7PasNnq2vyvVw8pJYk7xz7PrLURVLy4M8OLE0BmrWvRdg00tW7T0SWFP339mO1ZgKurbE9CLnUd0rIiDRJmaYHIC6K8YKVl8XAa0lT//+z9WaxkaV7ejf7WPMa4I2LPuTMrMysrq7Oqu7rpiQYaG2jgGLBk6aAjzmnZkoUtIRkhgyxZvsEXYBmPEtxYliWsD1tcfD62PtvfQd0YDDRNVw/V1TXmnLnnvWNeK9Y8nou1Y9fOXZlZQ1dPVfu5qcqIFRFrR7zv//2PzwN+mvPsWpvrBy5+lPHCZEyUZ9Q0jYNRgB9mXOpatGoqKy0dUYBnVxu8ujvFS3IwYcHWWG+ZGIpIXJQs1vUqICwKDqcBDVNDEiXaNRFBLBh6KbcOPRbqOoYi8dX7Q9aaJh1TZ18JqZsquiqz2jK5M/C50LEZ+RErTYM9J6BE4Npqnd1JzI9e7uKn1eE9DRMausrYS5BFgS/fHtBraGy0bJq6ghNXh/0kqIKGMM3IMoFZAkmeE6ZV9r4/i6pAMU5QFPEBQ/qogeR55WDuRMzL2Y9qFTobNjvDGb63eNQenA+hCpTUDRU3SuhY+rHDNU8G+GkCiFDCLBSxTQmxFLk7cpEREMTquYsdk5sKXFqskZYlT3RqVXJFEMgkCaumUpDT0FSEUuDADaEQUCWBzVGEn2S0LRXblLELhZySLIfJLOJC22Jz7LG+YLLvBFzs2fRnMYNZRJKVlCKst02e3WijiAK3D2c0DIVplJJlOfdHPqoisz8L0USJFzYnjLyEjlVpFIRJSlpAkRasNC2mYYIsCARpjhunrDRMlIbJ/bHPRtvi+TtDorSyrTVNJi8L4qxgd+yTt2DsR+SACqw0TPadkE5dpWZpVfLKTfjwuowXZ8hUPf9LDY08hZe2x+iyzLm2yTRM+fiFNi9tT2gZKv1ZSMvUqRkyFJXiNKWAosssm5DlJUkBQy869kXeqkr0Vtn17ycbPgkShl70WMrsdxMMfb/hLDD4AcKjNsg7GY58J0M7b2fTvlV0PGeYSLOCjZZ9TEU5i1JWWyZ+ktGp6YyDyhC+epSJ3jiiretIOh074+t3R9wfB6w2dHoNnY6tc5CFLDUNvCgly0u2pz4gEGYZ205AlBbUDZmffHqZlabJ1+4N+b9f3uf8goGuiRiazGrXItyfcWm5jiJWbSs1VUQSdCZBRJ4WbI196pqCE6b05ZAgzfCiBFOX+dQTC4yCBIoSTZGQk5xUAEuR8ZKUnqWx6cw41zYQRIFZlHE4DYiLklsHMz5+XqVhaoz9iO1JiK5I5JqMEya4oUuU5qy2dWzVpq6rbHQtRAS2Jj6bI5+NBXDCnCQrSLKckR/TEVWW6wZ70xBVU+naGkM/Ji5KsrSk19BwkoSJn9CzVLKi5CPnmtwbeMiCwO444OmVBrMwIyvgpz+0zI3DSsb+0BmTZSWIJecX7OPDu+9WB4EpV7S0WVby1HLjuI2AIqemUonatWvHHNjzzODjhGtOrv35581bjNK8eGir0PuhnHuGM7yf8KY9eTSE2jBUgqOWw5MtJ1XFsUpkIMDQjxhMYwZOxjhIMBWJ7ZGPbaq8cH+MJEJdg7wEWapm12RFpKWqlALsTH3SHK4PXNabFl5asayZqkheVLNmsigSHDHvmJqMFyRkZUlellBUDDtXlxqYqkyvYbA58OnYGkmW4yUFz98esto2KQQ4nMX4cUaU5hRl1dYjAq/uTxnNYuIsZxbnpEVBXJRH549AicCCqRHlBVFe0FYUREBRRT7+RJuhlzCYxQRJXrHOxQViWZKlKXVNQxQFVloWfpSy3jUZ+dW1HUvhZ55Z5r+8sIUuCnzt3pAL3RpxVrLSMujVTcI0I0wK7o9mnG+b/NATCwRJxpOLdV7fc9B1CVmUuNyqESQZHVvHCRKCJGPHgx9t6iS5cIKN7vGCku8mu/5ubPt7Nax8sgr+qPPq+ymQebc4CwzeB3gnw5HvZGjncSqB85JaejRc1DoSsppvuDQrcBIYzCIURWG5aZIUlXLyJIiPhqMyVFkkTSvl3aoyIOJnOXGaYykyyZHIysALK+MoV0bHUip13hKR1abJjQMXS1F4dX+KqYm4foypSHz8QqeajaAq3TZ1CSes5g+GXoxSCqy1TTq6gm0oDP2YD2+02BwFNE2FnWmIpStM/Zj1lgFCSUlJmhc0LZ2RHyMIsNw0WLA0nLgKUrwoZd+JeG1/ypIBQy9lx3GgLKnrOvuuj6XKSEo1hF2UcG/oU5QCaZYiixIjr+KSPnAiPnu1x4KpYagyAzdkbxownMU4YcK+E+LHGbaqIIklIy9lOEvYaNfwsxRdk7jYrHF/6INYtWMtmBpRUtKpGRiaxMCNkUXw40qArj+LCOOcaZjwpdt9nlyqHwmzweYwJClSzrdtPvlEh91JgBNVcym3By5OmFCWAn6SHbcR2IrCgn4keHfCKJ9uWzuN04fA6Raj+fOnW4XeD+XcM5zh/YTTe/L0EOrDmMrmCuiTIOFqrYkiudw4mNHQJQRB5ELX5t4kYDKLubhocejDUpDgRDnqkfrwRkPBjTMud2psTkN6NRVBKLFVmbquoGsCC7aGIktM/Ig4LdAUCasuMpjkeHnB9T2XfStkMIuZBikfWmlgqDILNQ1NEbl9OGNr7JIUsDnyEQSBNM3RdYUkzakbMmWRIEsCmiJTN1QESUARRbZHIVGaoslQIiCKFfXqla5JUZRYukKRVpXunWnEUk1nnEV4CNQNBVkQ8NychqVjKwpPLzaAHEPWqCsKRQo7SUTHVnHDlGurDb58e8CTi42qoq0r9GomJSWaKqLIECUpTlBRjK7UTfpOleCRRQHbkBh5MUmWY8oynZrOaztjnAT2pxEf3lh4oPXzUfMAc3vedyOCOGNnEjxW2wDePZnEezWsPF+T73ecBQbvM7xVNP2OhnaOMjppXrxp8PNkSa1raw8wyPTdiNEs5Gje9DgrPA0TmrpC01RQxCpjtD8N2R77dGwdAWhZOrqasdIy2XMDGobKC5tjoqRk4EesNHUoBV7Zm9IyVbamHnVdJswrOrheXeX2gYepKXQbKksNgzQvuL7nsGApHLohf/O5FRRJJE5zgiznpR0HTRZBEDjXshj6Mc8s1Xhxz2W1YaDIIgumycEsYKlhkJUF6ws2aV6SqgqbI4+1lo2X5rhRiqnIKKpIUcITbYtJ3+XCgsk4zNhJc55ctVAVga1hwCRKqGkqUZQhieAlOQ1dZZYk1HSF7WnAxbbNV2+Pubpap1fT2ejYbE9CvDDhTn9GfxzipDkfu9CmbWn8yeuHnO/UMFSRxUYNW1MI0gxDlVhtmZiazLPrbS51M3acgKkX8+r+jI22yaWlWpX5V2XuDz2kVKRpKPTdiJohk2YleZlT11WCLDv+fSsaQWgYKhcWatR1heCob7hX1xHKHHgz88PD6AlP/vthrCaPG1x71Do/wxnO8L3F6T35sD7xnXHAwIsJogxTl48JCgylqjo3dJXVhoEbpmx0LDaHHmVesNDQccMUQ6u49J873yErS6Ko4EZ/RsuUiXOBz17uYerVnNrBJGLPCejaOue7NfI8J4hT7h76/PQzS5zr2NzcmXEwDdElETdOUCUJS5Xp2DpukHJv5HHgRghFySRIKRFpqApRkaNJMnlWIEvVoG/bVLg7CojTnOWmwUpTZ6Guk2cFy02dexJ0uhazo0HiooSVpsHBLGbkxOy6Mcs1DV0W6dUNRClhdkTTmuYGTpjQqWs0LY2t0Yw7Qx9FEug2daZRgiyJeFFCVhQ8t77AgesjChJulHHnYEbNlqhrGrOgal+S3JCdSUAQZ1i6woUFu7L5AvSnMbM0xlRlnm43CTsWr6uw3KyquierwCdteENXj32EOdOQIotv2Qp9kqXu3ZBJfDvDyh/E6vMH46/8AOF0ZHwac2OsHpVs5///MMxVAhVZfNN7tkz1WIUWgWrj+xFpWrDvBLhhTJBVGeK5mi1U7ASmKtObZ4xkgZWmyXAWoSlSVWFA4NXdKV2ryih96okOti6x3DTomCpRmnNlscpEN02F2wOfOCkopRI/yrm6UsfSRFYblay7H2XcHDh4ccZPPLWIKok4UYKtKby4NSFPc761OcGQBYKk6tV8cddlGsSYmkTbVpklMWFS8OruFF2WWbBVLnVMZlGCoYocTgI2+zO2xgEDJ4RSpKFJLDZULjdhGqXsOUFFL9o0mYYJbpIymkWMZhGWodCoaay2TPKy4BMbbTRF4nzLxE1SVEUkTgu8OOXVvSktq3LS96cR+16CJIocujFCKdCyVEZexEbH4unlBvERB7WtVwrOvaPBsCDLkBF4edchLwrGQcLVpSaXunXSvODJXh1VFFCliv4OqlL3tdUWl3o1LnWrKsLNQ4ftYcA3t8aUJVUwVhYMZ/FRheiNddM01TdlCU+urdP/bpkqYZods5qcRpJVQetplda3WttnOMMZvrs4vScfunePklFO/AZttqnKhGnlkA5ncVUhTVLuD3yg5MlenaYps9EykQBDU1BkiY9vdNBViSDJeG3XRSwFgqzSWFltmmRlQdNUGHgRT/ZqXFqsMwlSFps6WQH7k4j9WUxaFGwOfCxNwdQkZAle3B7jxSklJbYiceCEKIrAubbBlRWbjY6JoYksNgyahsJ6W+fAjZhFEQMvYnM4Y6Gm8eH1JllZsj8NWdDhfNuia2nVHFmSc6/vsz0O2Jn4JGmVwV9tGjTNysbnac6BEyGLVYVWlkSGTsjWxMcJU17ZdbBkmYudOmVZcDCLWW9aKApc7NVI8pw8y6tARpBJspz1pk7X0llqGcdkI6/uTsnKKsihFFBkaJn6cTXeVGXW7IpQIs0L/CQ7/q1bpoobJjhByr4TkKYVo5EfZ8cOd9fW6Nj6I531kyx170YR+Z34PY/67Ef5VO9HnJ2a7xPMjaylyo+UoX+UE/UozDfQ6ZLv/LnKsa8oRsM0w1Bk7o09Bm6EFxXUjoaP5zR0c4Mw9RNu9V2SI/o5XRH5kcs9BEGgaSi8vO9UFJ1+xGK9+uymqXK+ZdOsa1zo2iR51d4UJQWLtsyNfZedQUhalJSlgKkpeGFG19K5ceAiISCKYlWCFMBQZF7Zm3KuZREkOQ1D45vbDjcPHDYHPncGM8KkoFfTWG8aLJgakkRltCWRlqHw2oFLTVcoEHCjjCDL0SWRbtPAi2K6DZ1e0+CeCy9uOzx/d8LNwxkv7TpVW5BS9Wv2bANDlXD9hN2JT02XGQUJHz3XRFcVGrpKWZYcOiH3Rz6zKOfWoU/Trt7j4qJF21axDYUozejVNZ5da7DcNDF1mfNdG1OT6FoaDaNq+XppZ8LLW1Ne3nOwNAU/SmkbMtMgOaYYfWlniigI9GcRXUtjuWHSsXU0RWK5YVbtPwLUDZWJHzMLY8az+Nh4K3JVTZq3mTlJpah6Eq1TgcLpf89ZTeZKqKfX8AfRaJ/hDO8HnNy7833dNFSWGyaXupV2wEbbrkQrj+bUBAEsTUJEYN8JsXWN5bbBxkINXZOIsip5MZhVw8RZkVcOsyCw60S8vDXlhftj+rOIaytNFFni2noTU5cxNZnPPNllpWXyxKLNwSzE1mUMSeTico0sL7jcrXHrsLLB90c+YZIRpjmqKGHKKhd6FucWLGREJFHkTn+GG6XkhcCTi3UMRUMUBBZMncks4c9vHnLn0OdbOw73HJgEMaYms1BTyYsCVRUJo4wkK1FkCV0ROZjFBFnGubZBDlzq2aRFJT72+s6UfTckA4IoRZdF+l6MpoGmyqRl1QKsKiLb45CiKDlwYyQRMgqeXm3SqGmsLZgs1XW6ts7ET5AEgdsDH0OpgqMfOt+hV6uU7V/bmzIJU/aDin2OkuP5AuBY4NSLMgZuxL2jClCYvjFX9ighsznm50LvKNH4XiR83q4/dPJMeqc+1A8qzgKD9wnmRvZkpP6oa04aYi/K3nKhPyrCPvmZl3t1sqJAV0QkSaJpVRnmeRkOIMgqh3N3GuDHObf7R/3oCJQCPHeujSAIlUKlqRzz27+yN0WTJQQBLnXqOGH1uUlaMI1ibhx4aIpEURYYmoihiBw4AVlesOdUswKHbkwYV2xIhiITJhkbbQNTE/n0pQWiLGPkx8R5SZIVxHmOEyYcujFZATkFK00DP8uRlMrR/8rdIUGcIokw8iLcMGO5YZAXJZJYZfj7Tsw0hTsHM8IkYRbl9GoGsixQ1xXWWhbLTZ2SkiQvj8qkORe7Nr2GwcWezYKtUuQldVNFkwT8OOWZ5TpNQ+aj59ucX7D4matL1DWZqMi5utikaWsEccbW2DsuwTtxgh9lfPnOgK/eGbI9rjJupibRqxs4Yc5r+1PUOcvHok2SFdiqxL2xh6XIOFFCdpS5ma+ZpbpBt6khSzKlUKnYKaLIpW79uGw8mEXEGby4NT3OFJ1eW49juJpf87CKwqMC4TOc4Qzfvzi5dx91fqmyiCKLDGcxr+85jIOYjQUbURQ41zKYBgkNQ0WgmmcrRRBFgaVmxbc/CGLEEmq2QpoWvLTn8sruhNd2HTbHHtdWmrh+yp0jvZy2pfITV5dIsxJJgsvdGp+50sWQBT7xxAJIAs8s1/HjFFMR0RWFKMmxLIVn1hpcXaqTFtBqqCAWKJKAF+UIgKXJPLlYY61pkFFSt1TKQqDvVwmtaQzXD7xqGDmHmqEy8hKKvCRMMmxVxIsznr8zZOxEbI5DLvVqlFS0qQdOSFLmDGYxSZqzZOvUTJWGKaOLEjf3Z2RZhqlIuF5GkGZESYEmCdw88KgpEn03omPr6LJEicDm2OMj621sXeaJjomhijy93CQpCkoE7g98+m7I3iREEyGIs2PtgdMBX6+hIUlVcJMVxXHW/+0kd95tBfhxfs78c6dvkVR63PnzfsXZjMH7BKd76B7mZJ28Zr7ATyocv9NBnJMCVfPM7u4kQBVjojhhFMHLO1PatnEsSJMUBRe6NsOjEm3HeqMa0XerdqIozXlurY1/NJx8baXJN7fHLDZ0Nsce9SP2intDjygrWGhoLIoVL/XHNtp85e6AJK2YJIIkY3PkM5iF6LLMLE2YBSn9WcieUwUJeVnSrasUmYChSmwmGRICUVYw8VKu7ztossS9oUfd1Li+53B74EMBe27EhQWLKK6GsAdexIdXGyiiiBPHJGmBUIIoCdRVDduoSplNQyFJC1RZws9SRAR6NY2NjkXbVvCj6pBcbuiossDagokmVo73teUGu07EtdUGf/raAX6ao8kRq22dsoAbfZe2oXC379G1NPbFiOWGQVoU3DqcMXQjvCglygvOmwqCINC2VPadiHasVrMdukqSlZzvWmyPffQSvrld6UM4QQpCSRBn+ElO19a4utQ8LvtDlQHyk+x4DqWli8QF9OrqMV3pSSRZlXkKkhxTk3h6ufm2ZmTeDwwQZzjDBxEn9+7pfb07Drg1cGkbGk+tNFBkAS/JsAWJsZ/wobUmr+xMaeoKt/suQimyM4lIs6paaSgKmwP/SNxLQZZg4iWUZcHdvoeqSthadX5tTXyiNEeSAgxZIspcerZOQ1NRxAw3SHGCjJGb8ORKna+OQ64tN4iznLwAVQQBkWvrDSgF7g0DWobCD220Gbgxm0OfLCvQVZE9p5pDuLBg0rYUDp2AlYbB2I2YAnVD4d7Q58cuL3AwSzFUiaQsWLA1LFXhYBYTpzl/fmfA00tNXtwac6FjMfRiZEHACWPW6jY1QyHKStKsZOwm3Ak8VFHk3mFAw9ArwVJD5YmWzDBIsDSVW8OAv/5UDSdMWGrqqILESt08OocMZlGV2Ju3BwVRxtCtqjYdS+JArioGflp1B6RZwfbYpyygY1fV6iwrWbCrltmTfkn/aFj5rViM3ike5+fM15ytS2963aOSVB+U2bWzisH7BKczr6/tT9ka+hXP/UOumWdrNtr2W2ZcT5bPTv6/n1TtQ5tj7zgSD9KMsgQ3ypjEMHBjXtmbkmYlSVEcf84sSqnr1T3MMwwI4EUZUZrxze0xfpzRdyP8tOKXDuKcIM65P/RI84LFmo4mS1xdbPIjl3osNQ22Rj6zJEOTBe6Pg6pt6cCFspJp/6GNDmle8OLWhG/cHxJnBQ1T4UKnzofPNVAUiTDN0CWZy12bjY5Gw9I5dEPCJCNOK/Xhj55roakSP/t0j17TwNZloixjFmTcOPBw45gwzjlwQ2YJXOrVsVXliJs64/JijbWWTq+m4QY5h7MIQ5NYtA3iIzq0hqFQMxW6tlZJy8sCl3p1dp2IK0s1buy57Lsh25MAx4/J0pI9J6Smydzqzwiy9Hg4TRCqEnuSF6R5ya2+hyWLuFFGw1AQRLjQqahQB07EX9w6YOJVRnWladGtayzWdXYdn+2JR9+J2Z0ECEIJwlG52K5Kz/P1dHIOpWGqmHIVTD6sP3QSJCR5yb4TEcT5cavZ49b5t4MPSkn4DGf4buHb2VOnz6/7I4/hLGYcVC1Bl7p1LnQterVKp8ZUZNYXTEZBzME04fqhQ8uQkAFNgr+81WdvFtK1dAxVoKZVavbDWYTjJUz9pNLaMVU6NZ28LEnSnHvDgINpxM3+rHJSRZF9J6IoS147cLh74HFlqcauE7HUNGkYKmkJhirRsXVMXaJlqGxNQmqayrkFC0OTmIYp9/oeiw2NhiHzsY02miQhyRJxklO3VTQJJl6EVAi8sD1l7FXMcJJY2bqlpsnH1pvIisjnnl5iFqdkQsnIT9no1LB1pQpmFJGPXGiy0lAZeiEvbE/Z6FiYhkSc5eyMAm4PPIIwQTNkPvehFeqGwkfWGnxza4IXpoRJ5cDvuQH3BjNe3XPIshLlRGVXkUUuLdVRRAEnzI4rBgBOlHBvOKPvRLhxhhMnR2x1lY9wcs2czL6frDKcXEfvdm09zs953FnSdyP2piG74+CBz/2gzK69v/+6DwAetmEmQUIQ52xPKgf6YZgvcFuX37TQH9fHffL/Tw+G9t0IP84RBLi8aHOhBp26xkrTBKoM80s7E27tzxDKkhv7LkGcHb9fr6bTa2jIkoh+5KAjVGIpQZwz8WOmYYIXpry247DrBCzXDcI0ww0T7g1cwiRjxTYY+Bk1Q+bF7SmmphDmBWstk5WmiXdEKWqqlV6ArVQG86PnO+iygBtWjBhPrtW5tr7As6t1WpZKu6ZzvmNVA9W2yWefWmQY5IydiBKwNQVRhFIQUESJu8MAN8qoqdA0JJ5dazCLMqIkIytLLnRrSJJAkmRIgkiSFrx+6NB3Eu4MZxw6MbvTkHtDj91piBNl3DiYcbFrc+NgxjiMcYKUlqmxvmDgxDENrRpKFgQBW9aoawpDL6KuK1WJWBS5M/BYb1lEWc5yQ6dt6HQtjSDJ8LKUG4czRl7K7jRAliR0VWS5YZIWBaaisFivKE4/st5muWHSq1VCa1sjn+t7zvGam1O7rbXN4wNjvp5OG/iWqbLSMHhmpRqWlkXxO1qufVxJ+CxoOMMZHsTb2RPvVZvFJEjo1qt2lvOd2nFlesHSWV+wUGSRm4cuYZKz3rKpGSIrDZ04h/V6RQ3ddyIGTszIi+nVNFq6ylJTp2PpRGWJF6SUQomlyEz9hLqqHCWqBNIsx1YlMnKSIufTlzrHrUrXD112JgFXlmq8suvgxSmOl7DvBtw+dHl5a8qdvsssSrg79NifhSRpQVaUREmOH+V86okF2paGl6bcPpzRqRss1jWaOuiyhJtmhGFOx9aIsgJZEJEE2Bx6+EnOj1zq0bZ0nl1vsdawaOgyT6/YXO7VkGUFRSzpmhqlAEUGoliAKLBcM5AVmbvDGZos4qclIzfh9cMp11Yb3Bp4RGnO6wcu8RGZiKnKDL2Yrq1haFWP//x3TvMCJ0wYBzFOmHLbASdMGM6q19UNlW5D48piRVTRsXUEAfw4P05YnhwqPt1WdjpgeNjaeqt1+Tg/53FI84Kxn1SEKu/ic3/Q8Y4Dgz//8z/n53/+51lZWUEQBP7bf/tvDzxfliW/+Zu/ycrKCoZh8OM//uO8+uqrD1wTxzH/4B/8AzqdDpZl8Qu/8Avs7Ow8cM1kMuHzn/88jUaDRqPB5z//eabT6QPXbG1t8fM///NYlkWn0+FXf/VXSZL3d+/XaTxsw7RMFVOTOLdgv5GNfwweFgj4cXactT3ZC9oyVSirzMDuNKioOcWjSFwAVRZYahqsNE0kETq2yuLRkPJwFjP2Y7K84P6RTkCQZQ9E8h1b53Kvzrm2xeVeRc9pyjKHbogiCszijJEXc/3AYRakHDohbpDy/N0RUXp0/1HCk4s2B+OAj6w1aFkK6y0TL0t5ZWdKmGTUDAVDlrB0hVf3XYoSvrE5RtclFhsGcZpz98Djj17eI0xzPnlxgfW2yUbLYBom6KrAyAvxkwxFkTCVasDqr11d5OmVOiICP3SuyYdW6qgyXOiYpEWJqSuAgKnIFWvPLEBVFFRJZBbn7I0DvnJ7yNRL+JPX9nltZ8qtQ4+ihDjLMBWRr94fYioik1mCocqstw02OjZ7kwgnymjbCleW6tQMkTjLub7n8uU7Q3YnlfbBE70aUHB1pUHXNkCAO0OfQydk4iX0bJUnF2v89acWUWWBhq4elXlLenWNj51f4Ecu9bBOag8IMPET7o5m7E9D+m70wJpqmiqyWBncvaPnT0ORRUytGpbOTlSX3g7eqaF+3GzCB6WP9O3gzN6fAd7enngn8z6P268tU0UQ4ENrTdKiYHCUcHLDSufgq/eH7EwCdkchuibyk1dX6NYNLnSq9sQnezaXl2p0bZW+F3Hz0APgXNtio2uycSQ2OZjG/MGX73J7MCMpKhGyp5ZqXFtvo0gitw98mprCYl1nrWvhxzlOkCAL8PLuFPOIKU6gqpB/5c6Q1/ddXuu79N2Yl+5PeHlzyiyuEh2CIOHHCXFWUIoljp+hyhJZkfPDF9tYIqy1LK4t13j6XANDk/h/fnydZ1YbhFlBTVeIspy9iU+JQLemstYyuLrW4IVNl+2pjyVJKLLC1zcnxFmBqkpIosDQjYmzAl0W6FgGdU1GkUWcMGV/EvPC/Uq48sahS5DkOFH1eyuiyI9fWWKjY3G+az/wOyuySJqVZHnO2I9RRY7auUqcsNJsuNSpH4vWrbVMlpoGqiyA8MZvTTWWhqXK9GeVpsFpAbHTa2u+fuYtSO+1467IIgu2QuchxCvw/j8j3nFg4Ps+H/7wh/m93/u9hz7/O7/zO/zrf/2v+b3f+z2+9rWvsbS0xE/91E8xm82Or/m1X/s1/ut//a/84R/+IV/60pfwPI+f+7mfI8/z42t+6Zd+iRdffJE/+qM/4o/+6I948cUX+fznP3/8fJ7n/I2/8TfwfZ8vfelL/OEf/iH/5b/8F37913/9nf5JP9B4mDFW5Wrw01AlmsZbtwid3lynKwGny2dOlDCcxdwbekzD9Hjjz+lNezWdwSxi34ehVzEoGIp8JGwm02vofOLiAoIgcKlbf2CwB6o+xbW2eUwtFqSVAR36MettA9uoGGpGfoymVO0xlibRn4XHVHZhnPPsegNZlnmyW3H6qwhcP3R4Zddl1/EJ0wLHS3h2rYkgCKwvmHxsY4EPLdfpNTRu9112piHfuD+uuKVFgT9+7QAvzBgHKYaqYCgKoliS5yVtS+XF7SktS+NDa3XqlkpaVFbv/iSkZigs1VQudS2uLjdYbhiokkRaFnRrCkVecmfkY6oiUV7w1HIdXZZZb1sYkoAbJOw6YaXfMPFp2Rq2pgAltw5nyJLINExZaZoYiowmi+xNIrbGITcPXe4NvGrHl9CpG0RZyXAW8a2dCWVRzWSsNU0uLNb4+PkO39gcIwsiyhG9a56VxwYdHgwg58Nl59o2ypHhP204swKG3hvDyycxL93OlYwf1m70OGP/Tg3140rCZwPNb+DM3p8B3t6eeCdtFg/br/P9DXC5VydMMvw4Z+hH5FnJxE8YuBG6IiILApJUscv5SUZNl/GinCADy1CwVJnFuoGlycyijO1pwMiraD11RaZjq7y4M2HoJ7y+6+CEOZoi4kc5DV1hHKRYmsyuW7XzRHHGcr0SM3PCjNqRLg9SydCvBpyfWq6x1jK5slTNmIVZxo3DGUVeVvZdKLB1rWoJ7dR5arnGYkNjfcFi6mfkwCiIKUpYsg2eaNfYGQcgQtPScKKUbs1EVyXuj2Z86eaANMu5259x56Ci47YthadW6nx0owWCgKoIDN2EV3cnhGmKLIlcW7WxdQVLkdmfBBRFATI4YUzLUNBlCT9Jj2hJRVq2ynLTRJHEB/yBOd14r2HyoZU6sgiGIiIIlVAbwObYeyARdNJHmK+ZefJyc+wx9KJKuDN60I6fXlsPqzQ8an29myChV9MfmH88vabf72fEOx4+/tmf/Vl+9md/9qHPlWXJv/23/5Z/8k/+CX/rb/0tAP7jf/yPLC4u8p//83/m7//9v4/jOPyH//Af+D/+j/+Dn/zJnwTgD/7gD1hfX+eP//iP+emf/mlef/11/uiP/oivfOUrfPKTnwTg3//7f8+nP/1pbty4wZUrV/jCF77Aa6+9xvb2NisrKwD8q3/1r/g7f+fv8Fu/9VvU6/V39YX8oOFRw5dzykk/yR6pKvuozTUfJH7YMPNcYCTNCy7U7eNqwelhnTQvyEsQECpF3L4LlCiixFLTOO77m+sb+EmGKooMvYiVuvmAoFrDVBkHCZeXaphKJS5zf+CR5iUtW0EVJe4NZ7QtnUMnIsgyFusmLcsgzDLCrEBXZPZmMaoks+fGqIKAKJe0axrjIOPj59tkRYEiiNQtmVokAwJlCZoiMfJSvnSzj6rK/PnNQz57dRESgZopMnBEZlHGF1/e55lzLfYmAUsNnVv7LiM3wolh6qVYikJWlHhpwbd2J6R5TpAWyAIokkSeRyzZGoosc3nVYq1u4GU5YZBz6OUVDVxWEEQ5fpyTK9XhGGclmiSw3NRZsKtSL0KJn+QISknbkulZCrosgiCRJhlRlpN7BUmW0zRkJn7Kk70ay82KKvCr94YMvJiRH/PjVxZpGCqzMEBGZH8aHisdD72qbOwn1XD5K3tTrrSqvffN7TFrbZOWqTINEmZHtt7UqoD15G88L902DeVN6/nk2kPgoYPy7+VQ2NlA8xs4s/dngPd+Tzxsv/bdiIEXk2YVFXXDULl1MMM2paqlRhR4/cAhT0sEES4v1o/oQjPSrCTOC1QJ/vLWgJqps1zXuLhgMwsSLF1icxxQFCBJIm6YcW2lxkvbLr2aBpT4SUZRCrhhSteSkQWBy0s2AzeiOIphG6bK3jRgpWWyVDd5/cBFlavhVVtTsXXIMo3OEd3zkg1lWdCyNdIc3CglSHP+6NVdZFGgY+lQFGxPA7ZcaOsheQF1W6EoSzbHAdf3JmSlQMdS0BUBS1d4bc9h5CeMvJhLvTqCJJBnJZoocb5tUpQCS3WNwTSmFGAapuxOQ66ttPHSnG5D43+/3qdXq5iCOoZGU1UohPKowi9hqNLx2T6nG0+zgp1JQPPIt7jUreMnGWEUAxCmBWsLGopUCZgGccb2JKRpKMfr6LR6/fzfG22baZgcnymnVZMfNQT8ViQVJ4OEt7uG5wHLo173fj8j3tMZg3v37nFwcMDnPve548c0TeOzn/0sX/7ylwH4xje+QZqmD1yzsrLCtWvXjq/5q7/6KxqNxvEhAfCpT32KRqPxwDXXrl07PiQAfvqnf5o4jvnGN77xXv5ZP5B4OxHt47iBHxehm6rM08tNLnTs48z+6Qh96FVe4IJ9tHEFqB1lS3q1Ssjk+p7Dt7bHXN9z8OOMb+6McfyUb+6Mjyktk6xi+7nQto+5rJ0gpaZXDuRyvSpPfvhcm6W6jm1WzvfEj3l5d8KBE6GrMgJQ02VkCS73LJ5ebfCZJ7pYqsRqQ2N7FHC37/Hq3pSxnxAlOZd6NRqGwsRL+NLtPusLNeIsZ8HWeW1vRsfWOd+xsXQZN0pYrOl4UYITZfz3F3fZGvn0ZwlFXpUmrx/OuD8M+JPXD7m+67IzDBFFgSDJmUQpa20L01C5tGTT0DWuH8yYeRktW+WzV7o8tVLnuY02limhCAKGKlQtUmFCVsBKzcQJErIs5/m7IyxFZq1ustgyaZg6fpKzPQoZBhFpkmOoMpJctWfN4gQ3ySoxNVlkrW2SpjkIJQduiCKKPHeumilQFOE4GDipMbDnBuiKxJ4bsOcGpHnJ7X2P5+8OjysEHVvlcq86TE5mDOel24e1vr1Vduhh6/UM33mc2fszvFs8dL8eiZvNbYUii0hyVbFca5kcOhGbI4/tiQ9CiRdndGo6DUPF1CU+tFInzsBQFdI0Z6Vp4mcpuipzc2+GockIYkWIMfBjBrOUplm9tq5JLNVNxKLk+qFDXkKvrjN0ErZdn6al8qHVJkmWo6sykgSLDZ2fenqRj51v8eH1JjvTgOv7LpMgZaWl8+xau7Lnyw2iJCfNC0Tg7oHHy9sOf369z/V9h/1pyOYwqsg34pzbgxlbQ58v3x2yNwlpmgaCIHBuwUaUQKayv0JZUtdVbg0cABqqiiwLXN+f8dLuhCKHc12dZ5ebnF+waRsqThSjihIv77ioskxalHzmcoeVlkHNUFisGVVQoEhstOw3ZgejjJd3p+yMfW4czLi+57A19Ll+4FR02KaKKFRD2E6U0KvrrLWqKkOeVfpFj9KeOTkHsNYyeXq5eXymPKoS/Fb2/mFEK+80afR+rwo8Du8pXenBwQEAi4uLDzy+uLjI5ubm8TWqqtJqtd50zfz1BwcH9Hq9N71/r9d74JrTn9NqtVBV9fia04jjmDiOj//tui4AaZqSpunb/jsfh/n7vFfv924hAG1DgjKvHLwTSLKKu7dpqo+85jRsRWCa5jTnEfqp18yft3WJgeOTZxmSAEKZM3B8TFlAKAQudSyEsho+6rsBB7OIkRJxobBQKNkczrBUkb4ssGCpbA9n6KrEwI1ZbRm4YcreNGRz5FPTZK6u1LmyVCdLS2qaREMTcVWJWZiwO06RZRGxLNEVgev7PkIJT681aJsKAy/hiY6BLInkecYkjPnGvTGXeiYrbZOGIXF/EPDlO0M0ScCR4McuddibhCCI7DoevZqMpYm0LQ1NFbjQtrg/mrE79QmTHE0RUCSY+glFWjALIyxNxk9SPn5ugf1ZwsiQaJoaSVFghBKWKnA49hHKkrzIWbBlFEFgpa6RFjk1RaS1XONcx+Rr98aESc72xGfX8ZmFGbvTEFtTeGVvwoKlkycZ/TBFlSXcKCErCtqmiiZDlsHuyEdTZV7amqII8MK9AQu2ympTY2scsjf2MWWRliHR0iWyVIIix1YUhDI/XkNdS+HVachGuxInCqOUgRtRFvDazqQSvBNLhDJ/YL2kaYqlCBykOWEU44fSAwb/rdbew9b193OA8L20Ee/lZ36/23v47tj8k/h+sf/vFt+t+3/YXm3pEkKh0NQl/DAmjGIsGZqahCKWWKrILBYRpJKGqnBl0cJSpcrB1ySCJGWWgh3FLNYMtoczdscB9/oetq4QJzmqLJAVBWGYco8ZTVPFjzO8JOf+0OX67owwz9ka+SzVVSZBjq0JxFHG008tcnXZ5s6hR1YWRHGCWVNZaxrEacY0iAkpSbKUQ6cAEQxFQpVKrnRrvH7gYKoKpiZzp+/RdzKyoiRMZGp69R3IEkiiyOt7Dqt1A0kSWWyoqJJOmmfIyEy8iLatYCk1dqYBfpqjigKXl5powI09h15DIxTgo+da3Bv6RKOsShpRsj3yUQQBAbjYsRi5IboqsjX0GfkxF7oWTUMjSlLKsiQvKra4pi5z6AS0bY1bfR9LlZBFkbLI6VmV8rEpgykLDByfXl1HKHMgJ0vF48dO2/7TOOm7vNW1bwcn388P0zetu0et+cf5UN8veDv79d18b98RHQNBeLCBuCzLNz12Gqevedj17+aak/hn/+yf8U//6T990+Nf+MIXME3zIa949/jiF7/4nr7fewknqfq9ZREabyMYzgrwM7Dk6jUnH3eOAvmG+sZz88eXLfjW839JVsAggpYK36J6H4BxBPdmUFehL0FNBSeGvISXj/ihw4qYCFEEN4JzNgxiuO9CUsL9BtxsVO93GMAwBF2GOKuu0UVIhtuIwL5fzTntbMJ6rfp8WYSPdqt7/l/3q9dv7cCzHdAlcBMwYtjxoHDh5fEhh3H1GQcybN2AfgReWn0H+QBuT2ASg6lAzQDbhGyyy6EPuzNom6AE8FV3m4Z8dN8ibLrVfdy4BRmQ5HC1BbNd6IcQZVCXq+fO1eBWCX+yA6UAPQNUpfreowQOBYhMGMnV63Sl+nvyvAoGbgzgog3DBFRgOwEJ+PPDbRYMqMnV90wB11O4boOtVIY/yKrfqqE+uC6cpPreX/0mdHWIi+o97yTVby+L8PUv/8UD62T+ej+DydE8cu3o2tPr7b1e199rfC9sRBAE7/l7fr/ae/ju2vyT+H62/28H3+n7f9xezQrYDyr7JwCKVNkTN6leF+QQa3Bwo3p9nMEshVEAwwgGr91lwahs9H5Q2TxZhe0J1DXwPEhzSCI46EOYwquH1ecehuAlsGSBdwBhCRMfCgHu3LrDJxZh04NZUr2/E0MBLOhV+8WmV50hsghCCYYCh9tw04CaAhOq65Mcpk71em9S2e/1GkSxwyyuHLPXxw4XGvDqAcR5dS621epvjTIoRAgjyARomhAczrg1qz5/tQY/vgz/95fuk+TVWahKUBZgqiAL0DPhtdf3ObwPfgp7QfW5929Xdl6Tq89UJRCF6jw+X4Ov+tXvlBfVfR+c+A1f+OrzBBksmdX3c9JH2FPf7D/M7T883Md42LXfTs7ncevuB3nPPu7e343Nf08Dg6WlJaDK7iwvLx8/3u/3j7M9S0tLJEnCZDJ5IIvU7/f54R/+4eNrDg8P3/T+g8Hggfd5/vnnH3h+MpmQpumbMktz/ON//I/5h//wHx7/23Vd1tfX+dznPvee9aimacoXv/hFfuqnfgpFUd6T93yv8U4zq303wk9ywiTnUq9iJpgGCX6acX8QUNcV1tsGvbp+/N6WKvBnf/K/+Kmf+ikmYU6SF7hhhqFKhEnOuQXzWCVxaxRgqpXsvanJvLrrYukSdw49LFWkZWnsTEL6s5BWzeDZlsH9oU+QZjR0lb/+9CKWKvPC9pjXdhzSrGShoXExTPCTnAVL59KiyfW9GTcOZiw1DdI0Z0MTCcKc1oUFLiyY7Jo7PH9vTEOXEJoml9YatHSZr29OeVYU6M8S+rOIp9ZskjznycUaXpwQHXgoWcGVpTqKLODrHrUsZ71tcq5tsHXrOp/7kY/x/3t1QDfM0NWqt3SpqRMlOefzgn0nQihnGKLIct1gx/ExJImPXOlxsWtz/WBGmObossChG1NKArdHAXYnJowLzp9r8dxGiwOn0kOQRZGlmoYb57hRymJNI8tLVls6L++4RGmGpSv89FqTLC9RJPjG5pQ4zViwVKK85MOmwq4TU9NFpkHGk4s2UVpS0xWWGhoA+06IIklc7Nk4QcLQS6gbMmFSUDdkVEmkV9cfui/6bkSSF6iSSNNUGczeYCoq4fi136l1/b3C99JGzDPm7wW+3+09fHds/kn8INj/x+G7df+P26vVeZPhhtX8Wd2QsVSZXl3ntT2XsRcxDTOe6JkcOgmqDINZgjD22L9+lwsXN1hbsBHKkieKAkmSWKxp1HSJ+6OAtbzA1mQ0WULXZA7dCFsVkQQRJ86OHE+BBVvh7tDnSzcGhGlBrVdjU5VQDIGWAJeXbLwwIysFVhs6NV3ma5sTXtgco8pV++vIj/HilPqCha1Un9eyVNwwpRmk3Dp0WakbfGjV5pVXXqO3cRFNUXht16Vb5NRNhV7N5IXNEaYsUrdVFgQBx08YeAlGHa4uN+jWNKIs59are1iayIW1FtqSTU332BkGXL2gEaQZ622TJCv40GqDm/szenWNS0d/x+YoqAaHS4E4S+nUTDRZgBJW2yZ1XeHcgsmdvocgwBNdu5o51GRcP+R//e+/4JmPfQJJllhpGG+y3ad/87n9FwDnyDdQJQHl6DyYa1pMj9qJ3s2Z8HbW3Q/ynn079/5ubP57GhhcuHCBpaUlvvjFL/Lcc88BkCQJf/Znf8Y//+f/HICPfexjKIrCF7/4RX7xF38RgP39fV555RV+53d+B4BPf/rTOI7DV7/6VT7xiU8A8Pzzz+M4zvFh8ulPf5rf+q3fYn9///hQ+sIXvoCmaXzsYx976P1pmoamaW96XFGU93xBfCfe8+3iUap9Jx9fXXjz95BkBf1ZBEf9lfPXdhsS075L3dKYhBWVmaHIBGlJzdAI04yGZaAoMuMwohQl/CQnK2AS5jSsSrq+bkk4QULD0thzYxqGSimIrHdq7E1DfD8jmsZ06wZ3Bx6rbYu0gMWmQZiXRFmJIMBi02JtocbX7w9RJYk9J+Yj5yxqhsaBG+PFOcMg4blzC/hJgiJKfO2+y7WVBnkh8LX7Y55eqXPoJgiU/Pdv7vLRCwuIkkRdV8mLnL6XoO571AyFJxZrDNyEcByw3DCrfs+ORVqU2LpBr1UNZa0vmKRliShLxHFK2zTZn/gMQnDjkh97ssdX7w1p2wZRlnPn0GOtY1NXFfanEbqiUtdEPnqhzdLUxItSgiTnRj8gSks22jZ5UXDgxOw6CYooIiJWsw1JycEs4bNXl3HDSnxmpW7yZ7cOmQWV+vMnzy9ws+9TShBFAkJecGcQsNzUkWUZTa0GrlNgqWYyiRI+tN5kfxzRrcsokspiSyWIM2RFIYgydpwIS1aQ5ZBOTWeppaBIIpZW8I3NMZ96okMpSEzCiKx4cF90G9ID61RRFCZBRUnoJ1nV4/kWDv7JNW0ZCpbx5nX9TvfJdwvfCxvxXn7e97u9h++uzf9uvv93Gu/0/t/pXlIUjvd7S3mwdbDbkCjdCFPXjodcLVVmHGY0TI0v3Rnx8fNtdscxWxMfy5C51KljayI3b4ChKdiaQlrmSJlEyREjmp8x8TNEuSJtSMuC+2MPL05Yrpt84lKLMM4pKenU9EoMbcvBVGU0WSApSmxJYnsScL5jookKZl1j3w25M/JZsBTapsaPXl4kKwuWajovbI5I8mp24KmlOvuzmL1JxHJLZ+RVA7cbXZuVlsELOUiSxJ4TcWWpjp8VtGsKaZaz1rYRBFhrmDhRRJ6DiMg4zNBVmTgv+fqdcVWmEET6XszuzYg4LqibMgM/4WLX5tBNOL9g8uKWQ16UCF7CJSR0TWCpYWKpMk6ckOUahiJS11VsQ2YapPTqCl+5O6FT06ibCqUgUYoCe26MeTSAvVDT8bOShmVQCuIDa2LuG3hpyaKh0G1I9N2IoR9haMqxTk6cFdyfhFzu1fHSnFKUkEXpuN//9JkwX3snz41HrUFFAcuoBEPHR/c2X+YPW/Pf6zPi7eJx+/Xd2KF3HBh4nsft27eP/33v3j1efPFF2u02586d49d+7df47d/+bS5fvszly5f57d/+bUzT5Jd+6ZcAaDQa/N2/+3f59V//dRYWFmi32/zGb/wGzzzzzDFrxdWrV/mZn/kZfvmXf5l/9+/+HQB/7+/9PX7u536OK1euAPC5z32Op59+ms9//vP8i3/xLxiPx/zGb/wGv/zLv/yBZ6h41BT+wx4/ufAnQcUIUB7RlM2vOclSNKeTDI4YCTbHHkuqfsx+dFJm3M8gySuFZEUWIeeYF7hr68cGfxomNHUFJ05omDo740rjwAszaqbC7f4MW5NZbRnUdLWqFIgqmiQy8GKurjTwoowgyVhtWWxNfC50bdwo5WLX5r+/tIOtqtzYdymFko2OhRul/L8/ucH/+bVNZFHilZ0poiDQslWms/iYi3mlbR3x96v4kcnmJOajG002xyFBknF1ucZ62+J822DkJ1zq2AilQN1SuD/wmIYh4wTuDT3irIRCZBalREnGcssijDJSBT683iAqpmw0LVp2RWH30vaU6/suAzdEkURqxhJPdC0u5XVmQUbfC+k1qt/ozjDgXGqwOwm40Kn0K+4OPG7vu9zq+1zo2Hxtc8ITHZPgSO1YEgX6swhNkZj4CQ1DJRBSojyrqO80iYmXEucZOQIlJWle0DAqpopKx0Kp2JKK4jigTLKC//rKNqYi8srelMWGjiJUpeCTOMnsMFfrDuIcU5V4eqV5nDE6yV5y2ki/G8aJt9onZ3gDZ/b+DG8H72YvnX7NycRUkGTcH3q0bY1n11rH1Mh/+toBeVFwt+/RMGSyvCTLSmZxSllWVJlJmjOcxdiGXBEWiAJumhHFeRUUICCIJUlasDfxmUUZQzdGlgWeWmrQqekESaWvk2YFeSFgqhJP9GooAlzumeSlQNNWmPop37g3ZBqmNE2NH77Y4dJSnaWaxs1Dlwu9GtnhjB99okNYFDhezIVFmwM3QZNFErEgyQte3Zmy74PtJVxdrqNIEtdWm4RpxmsHUz6+oTHwEyRRpAhFbL0KqlYbehX45AWCLKBlCl6csO8U2KrC+Y6NIAq0RZFdJyBPSg7ViF7dYG8cslDT6NV0tobVrMJyw0DTZJIkJ81zhkFEXmg0LYX+LOLios2hE7GsGseO+EbbxvFDGmpFTGLoEn6S4Sc88PueZqKaM/80DJXgiMgC4FbffUtWooeto82xR8NQH+nfnHz9ybXXNqT3dF2/H/COA4Ovf/3r/LW/9teO/z0v0/7tv/23+f3f/33+0T/6R4RhyK/8yq8wmUz45Cc/yRe+8AVqtdrxa/7Nv/k3yLLML/7iLxKGIT/xEz/B7//+7yNJb/xA/+k//Sd+9Vd/9ZjN4hd+4Rce4NKWJIn/+T//J7/yK7/CZz7zGQzD4Jd+6Zf4l//yX77zb+F9hpapHmsTJFnxxnDXQyjiTisZp3nl4Fmq/ACd5Hy6vz+LUETxmGf+NK3p3NlL0xRLrkp/J526uTGBinrztuMiH2UWrizWGfgRizWd64czDFmgP4uJspQwLXhmtcGhGyELMrf67rEho4QvvLqHF2b0bI2Vlo4fZ2ws2Ly8M0URRHbGIXVDYbWukxUl15YbJEXBtdUmX7k74sAJqGkamiKw0bXwkoJn1iotiA+vtWkaKv/JvcfFrsQkzGibCpMw4f7Q52MbHf7q7pC2pTKLcz56rsU3t8YYYuXYFhn8+Y0BfpLTMBR0RaahyzSsiqI1igu+2p9gqxLDIOJcZHJ+wWajbTOYxQymEalQBVjrCzZZLnDoTujV5kxDHm1b5WAastG2GPoRHVPnVt/lcBZTN2SGfsxPPNlhFGYs1U1USaBbMzB0iTDKScocoRDpz0KcICWz4FK9TklBVsiUpYCsCDSOdDGGRwGFLkuEeV6phh6tk9f2KvEfN854aqWBH+eIZXHcS/owzNfhvhOx3jaPDfH88b4bHVeqgGMjPVdF3Wjb72qfvFcUp+9XnNn7M7wdvJu9dHrv9t2IG4cz6pqMF6dMw/SYnrhlquxPA3KxZOLFrDUMLF3BUEUWDBUoMRQBQYSVpommiNw89FhtmlxYqhPkGb1lnf1JxDiKWW+Y7E6CIwc7RS0Fbh06nO/YOFGCLIh8c2uKJIgESUZdVxHKkitLDQZ+xHLdZH3BZHc8ACDPShZsFUWGJxYqG1wUZUVdXdfZciPCuGqXuX3osWCpbE4jBEq+fm+Cqgjsz+CJPGffCfnwWotX96bIoogXZHxrFHChbbE/CfDTgposcW21xeEs4EcudejPIixF4vn7E3RVZG/io6sKGws23brK9X2XmSjiCAVxnKOJAotNDV2WuNl3MaSq7XN7GrBYN5Ak2PdSKAtcKSHxSp5arJFmBYYqsT8JccLkmK7U1GT8rNIgSgrhTYkceDjF5/y51aZ57KfMfQrrRHDwME2b+XMn6U7nFYM5HuXYP7Bey4cTWZyuQnyQ8I4Dgx//8R+nLMtHPi8IAr/5m7/Jb/7mbz7yGl3X+d3f/V1+93d/95HXtNtt/uAP/uCx93Lu3Dn+x//4H295zx9EzJ2okxviURvz5OZba1UDeYdHgUXfjSqRk6PrgGMH8PR7elF2bOi1U0H4PLC41a8CgVd3pxWFW1Hx11/s2ry4NQGxJI4rbv+sKOnZKopksNjQSbOC8Ei8TFckpCMNhduHM3YmAZQCpibSMStWhQMnomUoDHUZW5dYberYhsLPrLdww5RD54itRIC2aaBpIk/0bLK84ONtCz/LWG1YKKJYBRptg6/cHTP2E84vWKRpST9J+MqdPhtdm5uHHh9bb/LC1hQ3SLk39OjZCqMYFDkhyTNmUcxau4aSCkiCSM1U8J2Qpqkx9mOW6wYDP+ZqCZ2GyodXm9iqSFbAM2sNVpsmX7o5QKTkha0xZVk5yWFaYOkqL26NkcUO26OAIC6wVImaKfPR9TZekvPc+RZ3+x7rnRpNo2oLem08pakpzJIcS5Y4jEM0WWLfCbi20mTB1um7EZc6daZBghMnmEqVjUuzAltWCJOM1WalP6GIIogin7nUxdRk0iKiqalsUh3+playOfFoaCqrR3S3VVBq0tBUgqyqJM35syk5pskNkoy1lvmAtsFb6XU8Cm+Hi/oHpZT8ncKZvf9gIskKxmH0ttf9u+F195NK+HJz7FXZYqESyJolKVcW65SCy6Kt4/gJW2OPLC3pGCo0QZYEvDCnW9OQBRFDkZgFOU834NKSxVfuToGStMjpexEDL8KQZS72bMSRgCpJNE2FcwsWawsGu6OQUijZHHistgy+tTuhbWmMgpiluk5aFLy+O8WPMjp1HU1O+NTFDhs9i2thC0OVWKrp2JrCyI9Ji4JpmNBrmBxOA+qCQMOQcYKMpqmwNfIRRJFbhw5hmhK4KTKw60TULYM/vn7IxW6NNC/puyFNXeHmvlO101LSaJtsDme0LJWRl9CrG0Rpyacvdvjm1ghFkihyAVEUKSh5cqXGQk3j5v6M1ZZJDti6Qt+NCdKcuq6QFyWGIrI79XluvU3b1OnPAvKyRBTgbt8jyDMMsWLVQyrpT2M2OhZ7E58gga1RwNXV1nG192Hrqu9W1Ky9mv7QdTN/bO6DPKxycNrhn7/H6TPgUQHryc99GOPQvEI19KKHim2+3/EdYSU6w/cWkyB5wIl6GE46PA8z6Cc5hE9vztPVhPl77U8r7vrNscdKXeOWA1fCFFmpNm//SNreiyJ0ReJwGuKlBRcXqr59XRV4bXdGAXRtjYalYBsqK02DxbrOi9tjQMQ2JLw4QwbuDGZMwoQ0LUjynJEnEqUzNjo2tiZxmCb88MXe8edvTj0MRUZXRBRRoO9HnG+beEnKpW6dlGpTjIKUtYbB7tRn5MbseQFekDL0YxYsDTfKMDWRfTembSvUNYWPrNc5cCOcMGHsp7RtlVmSsGYDdZ1pmLBkG4iSxHNrzUpApSxpmRpuGPPJJ9pUQ28639gaEaYFhizyuWdWCeMqq787DvjRy13+/V/cpshLJmGKeKQgfTDzWaqZvL7vYGgySZqzsWBzoWNSiiJtQ+LWoUvH1Jj41e/4yt6EvhOzm4c80bGRVZEriw32ZiGSIBBkVUl9rW2SFAVBVokJOVmCqcmYikyQZnSOWsP8OKM/izjXrjis5469qcnsBzAJU76x5SCJAmM1xtTlY77pXk3nVuhS19XjUjTwQGA6zywduhF+nOFGCR1Lf2xG59tx7t/LUvL8Pmzl8Yw9ZzjDSXwvgtNpkFCK0re97h937/MqQJKX9N2IXl3HCROWVYOBF9EyNdKialm8O/DQZJm8zFmwNGRJQJagzCW8JEVORJqWQimCG2TUTQWxLFlpGtw4mOGEGZIooKsisiQSZRn9IEYURD6+0aGtz3h932HgxQz9GF1WuN/36NZ03DBlZxxQinC7P6Npq1zs2fhRZRs/eb7DUysN9iYBf3brEAEBSxN5crFBlGb07ErMUZVlzi2o9L2Iy4s14iwjTTPujz2WbY3xaMJqw2TkVzZtezSrAhhDJS+rxMg0ianJlUDbJEhwo4wgzelaGg1LJ0hTPnmxy9CJmMUpu45P064TJ9AwFX72mVXujTySImfoRIzDBCuS2SlgtW2gihqLNQNEuLBoo2kS+5OAw1lIWQokeU6tJbOgV4m3YRAiTwXalsJuUAVsJ6u9Uz/h5oHLc+fa2HqVqBx4caVXUb5h20+3jZ4WQjtth99uhWoeAMzVj9/uHmqZ6gNCax+kNiI4CwzelzhdnnvYUPFbOTzzDXWyCgBvtP/U9eoz5gbAjzPSokAoK/GVO30PSajEZM536sfRvyoLXOhWismKLFSPHakhB3HGvhujywIrLZOOrR8rK0+8hL1JgFCINHSVqZeyNfUpc4G0KJAEgbyAl3YmXOrVCJIcN0pYb1sgQLem85d3hjh+xM4gYLltMosy8qJERuDD5zrUdImhGzPwIq4uN3ht30VCYD+OmIYJTpBybbmBF6VcXTIZedWcg67I3B3NUESRl7enlKVAKUJdl9FFibSEjqLw9FKL+2Ofi12bJ5fr9L2Q3XHMcBbSMFSGXsIPX+oy9hPcIOOVPYePrNVJiwJZFtjshzx/Z8RTiw0+80SH/+tbe3RskZqhEKYZSzWTmi4jKgIv3p9ybbXOWqsaIpYFmVf3nIpNqISNTtXqcWWpQZzlaHJ1YDZNlTjLuVprkOcFl7pV3+ftgUuaVhmgWZSyWNNJshLTEFk2zeM1N/QiVtsmaV6gyJVK8ixKiJKUJIO9ScjFRZu+E7HaMh9od3tYQHvyoDhdCh56EQ1DfaCC9TB8O879e9luNL+P6fcpJ/YZvj/xvehzbpoqXlp+2+v+cfeuymI15OtVGeSTrakATvhGZVKTJfqzgG7dIKeg16ixYGsMZxHbo4xdJ6Cjy7RUON8x8dOC9YaOpSm0awmSWPKR9RalUNnl6/sOt/sehiiy2NDoNDRaM5UXNqc8vV7D0iXaaCQJ2GrBesvkwI1ZbZksmBqbA5+v3B3QMXVWWyZ+ktF3I8ZejBtlXFmso6sibdvkz24c4oUZbpTSqxm0DI2mqRCnBRM/QZHr5HlO7ECQ5NQMBT9JGXoZYRySAy2zSj6tNQyahkIhFoiCycCNccIMTZLIiWgeZf6fXKpx/WDGgRPy/O2qVallKiRJia3J/K/XR1AWVWUjSFiqWYxmMetNkyyvWqBW6iZdWyMrclq2ytiPUSSR8wvVDBsl1A2VxYaO68esmpDl5XHi0FJlbh64SKJwXBVK86qKHaTZsWjlw9pGEXjAX3lYe/Q72QuPWodJVjBwI6KsqmZ3G9Jx6/TpNukPEs4Cg/chTm+ahw0Vv12Hx0+y41YNP4GBF1cCMekbzts881O9f0U31jBkDBk+cq55rHKryCLLDfPY0esdGYMgzhjMYpqGwmcudo+v7dV0/CjjL2/1OXQi4rzAVEU2xyVbU5+VuklGSdNQsHWZzVGAqcoURcVtrsgSh27MhY7N/3hpF1MReHkScaFj0XcDJCQyStYWLBq6wjiIKBHo1jRe33PJi4JtJ8RSZOIk53LPpmGqZKXGnpOwYKsYgcwsSnGClOIo6zKZpTRrKhO/otIbB9AsS2ZJSkOXGfopNw5nXO7V2BwGFMCBE9EpdL6xOeLJbp3+LKIsS4K0QBZEtiYedw89vDjjxXRMU1f52EaLqZ8gySJJlrHaMlhrmfy3b20TZ3nF360ISKnI7YGLroiUBXRMjev7U+5IAm6Y0a3pdC2dMMvwkpSVplkdZEnGnhNgKjJpVvLNgzFiKbDaMtl1AigEmobywFo7bUyHXoShKEy8kCCDkR9zvlvjM5d7D80CwYP9po8y/qosstG22Rx7dO3HHxCPmrl5O3g3LRKPu4/5YP4ZzvB28b2YhVFlkUXj22NVOtkK+Kh7bxoqTpjQNB7sQ0+yiuQizQsuL9bxw4x7A48Fq+Qj59o0jKq3PE0LvjTu44UZoaXi+7DhJUDJQk1nc+yhSiLLrcpBb1k6JQWrNYMtUcSNUnZHAVdW63hhRVV6MIlZWje4utSkPwsYeiWmrrDaqmYX9qchQZZS5jCZJQiVj8y+EzDyUtZbFoYmEsU5L+1MmPoZw1lETZewFyQQISsK7o99Dt0YS5OQZYlxBL08h1hAk0WeWrb55taEOM4YBSWmpiCWOYgqdVVDrIs0DI17wxmbQ4+PnW/jxRkNS8ZJMqASJyvKnKIU2I8KJFFkNIu50Da5Pw5YbRhc6FnIgkCJwN1RgKFUysf/fbLDsxtNNlo2Az/iqcVqLi+IM6ZByuXFOqZWEY70LIVvqXCpZ+Mdnfd+kvHcufZxYnEe8KVFQV1XcU5Ve09WBk77K/NB5fc6wTMJEpK8YBBVRClv1Xr9QcEHq3HqA4qWqdKxdbq29rYPl3npzVLlY5qwlqnStTWWG+YDfXfzzI8qCzSOjLUTZrRUCOJqwHZu/Ocb7dCtOOsX6zqKLFalRTje/DcPHHbHAa/sTdl3Qvw8oyhKlusmUFLXFbp1nZ98apmarnKxU+eZtSY/fLHLc+da2LrEhZbFR9abbA59TEXkxr5L05R5fc9hwTLQFIkr3Trdms7rBw6zKGMcJFCIKKrA1E/QZBlBKFlbMLHUiskny+D6nsNf3hqiiiIDN6pUjmWJuqnz0UttaqqMocmMZykiIEgCsyDFUmXKouDCgkmcFhQltAyZbk1j5EUEccbLe1PuDGdIgogkSuxNQsI4x09zdqcBQgFhkrM3DVhrG3QsjZW2xdqCxbbj09Q1JFHAjROu780IkoK1pkGUprRMhT0vZG8c8uWbI24deLy66xBmGbamUJYCWV7gRgm3Dmf8xY3+UaAmVNzfksihG6Ig4sQxQy96oJf0pBS9Kotc6tbJioLllsE0BkmA6/vu8bpUJPE4wzRfD2/XcT8ZtD4O80MFOD6cvhc4+d2c4QxvFz+o6+ZhM2mn8ag9PM8SA1BUrZ11XSZIc1Ya5vE5cn/kUSIcJY0kvAxe2pnSd+Mju1+xpr207bI7jvjT1w84nEZHM1kynbrOLM65feghSiJZWakVe2lOkhZcWqyzWrewNJH1ls7u1CfJCoRCYHcaoesS+07I/jRg4CXoisDdvsP+JOZgFpIkOSMvolvTWG4ZjMMUTZSQRAlJBEuViKKMLCuoaeCGKUUOTUsjL+HZ9QVqmooqiYy9iCwX+MvbA/anPk1bQVOr+QrbkBl5MTVbYXcc4vgJtqGw2DAwFIkgSpmlMcNZzEbHRlYEfuHDS3x0o8Uzq01+/OklWrZC21QwNQkvySgEuD/weXFrwqETMvDe0JkRhPJNs4cNtfrdLFXGCRNUUcQ/wTa07wSkacFG264ozk9Ve+frvFfTH+qvzM+Llqke+ycPm2N4GE62Jp18Tcusvtuu/iBRygcdZxWDDwDm/dvzTTEf2jxZxjuNeeTuJ9kDz6+1Hz6z0KvpFW1lXnBv7KFQsu1XUfjUDR4YEJ0ECQM34i9v9bm21qRr6ThH1HB3nBmv7E5RRIEsL/nQSpOBG7FUN9AVCUURuNSoV3SpvYouVVck7g49VlsmE88jTAsamgoiRElBx1IZ+gmLbZOv3h5R02R2xz5XVxrERc4kLCmLqkXm05e6bPZ9hBJ6TQNblXCCDE0TaagKkgh/er2PQKXq+82dCR9Zr+6xY2k8sWCx5wYsNg0mQULNULA12BkFXOzWKMqSH77UwVQVXt13COKMrbFPXVPQNJmb+zOyoqQmKUzCGFsX2Z0G9GchXpjStHVkRUSWBZKgZOgndCwNSYK/ut0nz6vfbsHQ6Dsxvp6z0tRoGFqlQO0nlQJmCU/0LEZ+wpUlm/Mdm0M3Ynvss9YyON+1udv3kJXKaD+93KRj68d9l7vj6jctER5YQ6fpRTfHHr26ThSnPLNAJYa2aL9pqP3dZILeSSb1UfMxZzjDGd5bvBNGl8ft4fl5tTsNeHa9wVfupDzVs7k9cHl6uXlUfVOo6woXOzarTR1/E0pRoKYptAyF+5OAhiHz4bU6L+04rLYt8qJkmqbUTZUsK6jrMk6UcTAJkaXKif767SG9usZnryweVcAVhkGKIsvIikCRCawvmAycmJWWwev7Dk1TI0wKkqzk7qFHnGb4SYauSPSPHOtuTSdOCy51ba6tNnCDBEGU2Hd8ZglcsnVMXSKOM+ymRltXUc41uD2o7PIfv35Iy1S40Z/RMDVWmzoFBa6f0rV10ixntWURxDlZWaDLIqIoMolTTFlCFgTSrGDB1vCTEk0VCZOCIMn4yLk2O+MAWYIsKzlwI5ZqOpMgZjRNuN33uLbapGNVuiBOkPDaroOty6zU3/j95sHe3tG5P58/PHRjMrPE1OWHMgjNcZIE5fTjJxOL3w497snzACol5N5RkvIMZ4HBBwanuX4RIE2rkp2lym9rmv9hnPKnxagGXowsCAxnMV0N3DDj3EKNpCgeKBn+5a0++05AXpSstyz2nICerXPoxUiygBvmXJQrh/8jG21GXuW0Ng2NKCm4sljnm1sj7o88LizUuLJY55X9KZQlbpiQUQ03LdYMNE2CoESVRK4u1XGThHMdi6Efo0oSMxHSPOfqSp2GrtK0E+6MPMqiJM0KoiQnK0XOtyxe2nN4bqPF9sjHC3M6hs7mMKBbU2nYGgMvJi9KvnFvzOUlmzDJub0Jqy2DnUnAuW6PAyfkxe0RK02brXGIKMDO1EcQBZZrJqtNk6LMeW6hxdbQp26oR8Jr1TzEteU6+26MK6ekRUlCwWSS4McFuxOflqkjywJKKdK1VDa6NlGco8gCbVHm1mBGr2YR5ymf2FjAthRMTSY8KgHvTgI+st5GUyTWG+axsVQk8ZiebuWCyTRM3tQmcNL4whtMQpd6Nvd1+MkPLTEJc4Z+dDyn8m5bfd5NqXcaJI8NiM9whjN8eziepQmSt3S0HreH5z3qtibjxRk/c22F7Un4gHN3rm2x3DSgAIEcSYReTSMXBGZRZc/SomCpafJ0AVsjv5prEwS8NKNn6yw0VBaSgsNpSFoWeGFGnBXsORF3Bz7LTZ0wKJlFGV1LQ1UFuqbG9YMZV5Zshn6KKkl4ccqVRZtDL6XMMixVxY0z7k9m5Dk0dIUkj7jUlbjed4iTnKW6xe50iCqVyBIossC5BZvNkc+L96Z88uICtqnSMBNuHnpc6tbYGvp85nIXQxVJygJymIUZYRqw1DRYaankZYzjRqiSQppnLNlGxZzU1inzkmmQEqUlHUEhU3Ne3p6iyyKWrqCXEptjn4udGogCTVPj3jjENiR2xwHTIMGPU6KkIEgz2qb2QGBwkj50rlqsiCJenFHTpQcSjieHgudr51GaNSfxdpNCJ1mQ5mJ5J5NRm2MPUxbepLHzQcdZYPABwMlez5OR+q2+S5pVLEIfWmm+iRXgtME+7fSdFhVpmSppViAIJUt1lf/5WhXZ1w2NCz37ASNwba1JXpastgxmYUKU5oRpxkfPtTh0IgqhGkqum9VgbaemIwgCdwczLFXhS7f7bI484gwaukaSF6RZiRskWJrEvhuhShJZWQASpqKgSRK2KkFpcXfooUkCqVLRXdq2hixKDP2IPCuZBSluXA3ZqrKAgMhf3R3QresUJfy/Pnmeb22N+d83+tRUma1xgCpLrLcMvn5jQpyl3BsFfPJ8k/0WJKLIpaUaL++MOZwlLNZUZmHOpy40+dPX+wgIZEWJl6Q0cpVn1xrsjkNKoFtXKUtw/IR6TeXOwCenRBQFsizHkkRqbQNREqjpMrIgEBclC7aGpSvcH/jkQENT2Z742LpKnGastkxkRWCxprM/DVAkgeaR0uWLWxMKYHPs84knOvTdiIEX07W149mQOd3cSZw02H6UcXNcUZ6qcsXEU12fk2RVALfWMo9bffw441bffU/o4U6v5fnaReC4HH2GM5zhvcfDGO3mTuDbZVdKsuK42jjXG0jz6mxpaOqb59SijIEX42UgzBJkRUaUcgSga2iooghCialIoMm4YUUbGuU5szBn7CcstUz8wYwPrTbYHHnUNZWLHRtRgZd3HERRIC8L1k2TrXGIrknsOzGfuNDm/sQnDDKivOByzySICm4PZ4xmMWFSICPgxykfX2tQ5vDqlsMojDFVmWsrTUazkMyAZ9ebZCVc35uiKBL705CGqbI59KmrMn6a8f/4yAq2IeP6CXcPPbKiBEFg4EUICCzYKh1LxQkShl5MkZcsNTTaNQ1dkhjGEUVRiSTHWcmeEzENEg6nIYtNk3MLBk8tNwjTnLWGgRukfPxCC7EUkWQYuBFpUSLLsF6z6NY1ujWdrJgP8FrHxCX3hh69mk5aFlzsWVX70Clto9M+xen/fxw5yuk1c3p9nWRBUqQ3XnMyeHH8EE18cPj4g46zwOD7HO8FVd3JXk9br6oDx8NdWXHMOPRWLR0nnb654V6pm8fDxVC1GvXqOnvjGbMMoiRj6EeYrnzcvrQ7DgiSjB86t8Bq28SPMl7Zmx5xVx+1Kx1x5AdppayoyiIUMFAr2rQry3W6NY0DJ+RjG232nIAozbA0ibalAwJ9LyJLy+PMVc8yKEv4/76wjSaKCLrM5WUbS5YZ+BGjWczz9zzWWjqtmkoplOQF5CUcTjyKUuDAcVht6QzcCEEUeHKxxs1DD1GA7XFQ0a7KIvtOylLNwAkz0gz+1seW+cbWjPt9j7HnU5YlTy41GMwSNjo2L+1NKcsc0dCxFJEv3RyiqyILtoomVe1XkyhlHCRcXasz8zPcOMVSJLy4wNQlluoG+06IGyY0TJUoSXmqVcdQRaKswJRkZFUkDhIWWwZJXiCnIq/tOYRJVVFYbBrUNZXb/RETL+Kj59pV/69Q9ZWmecFre1PSvKqmzFvLHkZ/e8sNkESBV/amfHS98cZCEkCVBTr2G4HFe00P9zh6uzPDf4YzfOdwcoD4dAb47bZ/nGQou9C1ccKE3UlAiUCQVundQzciiDKGfszEj6lrMiLQthVe25ux0rKwVJm744A4zZAkkZqh4kYxiqRgKjKKIiCLAhe7Fl+6dUjX1knynE5Nx1armYY0KYjSnP4s5hNPtBFEgY6t8pW7I2qGwu2Bz7W1Bn91ewTA7b7HJMhoGzL7WUkQJwiCxLOdJl6Us1jTKUQYuCF1W8GNMn722hJfDfcY+gmbowDbUAiinKwoeWl7giwK+FnBk4tV9X3gJLy+N8VQJFRVIstyFFEiSTNe33HY6FgstXSCOMcNkoqEo1vj/sinbWkkecZaQyPIS3QZFgybtqVQ0xRsVWapZtA0q3agBVs7ZiFCgIZeKRXPk4xpUTCYRTgJ+EnO9Ci5szn2kESB3WlwzEQ4Zxk6OcPoJ5VuzekK9DsduH/Y+ponK+dB6rwifTKw0CSduHjz8PF7hR9ELZwfjLv8AON0RP1ucHJo5+T7KpLIctM8biN62HUncXIIbt5HmBTFmwY754vfEEFXZTo1nTSv2AzuDTwOnJAgztmZBtXn2iqffKLDnhuwNaxKvYpUZZHnAjhJVrAzDbB0hZopc7lX50efXORvPneOaZSQZiVBlDP0E8ZBTN1Q0CQRJ03IUoCShq7y4uaEJM0Js4yVhs5a0+TeOCDNSv705iFhlHJ9f8bHN9o80bFJ84xDJ8JUVXRFYKVp4MU5f3VnRJQUCKLAs2uNajBXlvCiFF2VWKnrHLohr+86lMCBm3JhwUKSRWq6hiQJNHSFcx2LIC1YaZh0LZOnluo4cU7LlNFliWdX2zyz1sTxU0azmJquYEgSUZ4hAWFe4AQp/VlM34kYzCK2RgGv7DrEWcm+E7LrBBiyhKaJLNkGCzUDS5LYnQZsjgO8NCWMMxqGQttS+ZPrB4RhQa9ugCRU2TagY1UGs++GTPyqJWdu4PtHugK3+i5JVhwHnlGaY2syX703Jso4HvzqWNWQ2cm1dblXx1Tl4zmAtztY9nbW/A/qAOcZzvCDitN77q3Ol5OwjoKCjbZ9zDqmCAIjP2IWpLy0PWFr5DP0IyZ+QpRWdKALOmQ56LLI1sgjL0ARBQ6diMksZuTHNA0dSxepWQrLjaol8sbhjDgr6c9CXt52GboxO5MAL065vu8wmsWV+FqY0bU1BFGgbqkV8USaE8cFn32yy6VuDQEBRawy3h9aadC1TFYaJkFa8MxynbapUFdlDF1GE2QkoURXZXJgFlUMfVFacKFnM/JiZEASRZ5erROmOUIB94ZeRfRRlEiCgCSJaLKEn+YUJby0PWU4i6kZFUtfWZTcH3ks1TVmQUJNVZnGObuTgFlccmHR5v/z6YssNU0sXeHe2GNzXGn+zIOCoR/hR1Ug8PRKE0uXcaKE4Sxm3wmZRnB/6COL4nE2vmEqrLVMpkF6vCbgzTOM8+Hz+TDyu7HXD1tfqlxp8JiafPy5D11v8ndu+Pi98OG+2zg7Jb/P8U6M6aPwsE32qE30djfjydc/6h5VCZ5ctFltVmJXTpQQJDmlUBKlOZIoVP1/VGW8Qyc+4nWu7qNpqFWWqIBvbo1pWSqCIPDcuTbAsUNqqjKmLtGpVXoHL25O+OrdIZMggxJ0rXLG7489giQnK0CVJQxN5uv3xxQU/MWtAddWG/S9GEOV+J/f2kWWBLq2iSGJiGLJjz25iK6KhGlBmGXcHszYHvqossgnL7a50DHRFIGnlmsYmoxQiszilO0ZOEHMy7tTPnyuyYKl8fRinbolU9MVPnWxzWJDZ6VlIokCV1dqaKrEzz23yrmuyfYkICmrUujQT/iLGwPGXsLIT4iTnHsDl71xSK+ustLSqWkKYZwyDVJe3XX5yq0xf3GrYhd6ernBT15dpGWp2JrM9iRELkXaNZVL3Tp745BZlDLyYwxVpGWo/MWtPvuTkBc2xwRJRtvW6TW044H2eYtOmGbHGf++G1UH09GwuSSWDKKjHn8ezlQyX3/zCtS3Y0jPAoEznOH7C+9kTz5Ik105jWGWE0Y5W45P/0jAq1OrbFGWw819l5eHIIngxjk5YKkitiHTa+oceAmdeqUh8KkLPZ5ba/O1OyNeuD/htT2HaZBy53BG21CQJZFPPtFh4McMZlWr6yzOGXgRX7k34ku3hnhRiiKLeGFK34tYsHU2uhYf22hhqiIXl2pYhsxKy2SxofOpi20QRda7Fue7Nk92GrRNjbiAWwOPfb+qOiuiQE1TaRgqhirRa+j82JUOeV4wcGNuHswoC/CihE9fXEAoSyRJwFBFhLJkd+pjqDKv7TocOhGiJODGGUUJmqKQlgUv7zi8sj0lTQvKMj+229dWmgiCgCwI9N2Q8Sw+/k0MRebGgXvs+E+CBFkU8aIUAYECyPKC8KhV2dZlPrTSxNQqZj9O6Dqe9hm+U37Ooz7vNObDx9+J8+K9+Nu+2zg7Nb/P8Z1ycB71vm+HBuztlMYapookVv89pp4TIM8qmrMLHRtTk46NxbwVqa5X3NlzYbVeXac/i0iznNf3HdqWyvTI8ZyXB4Mk41K3zg+d72DpMllRkOQFQZJCCbYho4gCaVbSMCTOd22eWW0wDVIECfbGPh8+18KLM57sNfir20Ne2pnyh89vEaQpC02Ni12bl/ccigJEBPI8Z3cYMPIjnr8/wgkywiznUrdOTVP4oXMt6qaMKktYCvzJ6wOKEvadkKdXGqiqxIUFm4Waih/lrLVM8rJSMp7MEv7mc+tYmowsihRZQVHmnGsbWKpI01ZxwwxdErnT9ziYVdoSflqwWNNp2yoLlgFliSoLOFFCkhZM/YRDN8KJEj683kZTFJ7smQz9GFNVCNIM25DQZYnlhsFizeCFrTFhkvLF1/YIk5Qb+y5LdYNL3frx8LkiVaxXl3t1FFE8/l1mcUqaleiKSJSWtNRKOOkkRel8nZ1cd+/EkD5svb5TKrsznOEM33mc3peP26ctUz1muVPFirEuK0pUVahaIhWBCwtVNaFhqIyDhL4Xc8eFu4ce51oWC6aKJAo0DI00K7jYtSgLuLJUZxhE3OnPKAWBwSzGECXKoqSlVy2Hn32qixNWDu8sSonynDBO8KKM/jTEUkVk4FLHQlclbF1m3wmQRZFe0+Ann17FD3P2pxF5WbLWMvGjnKYl07V0DE3k4qJFy1IJ05yv3xuzF1bnZcfSWGqr6KrI5aU6pi7jRTmv7DscuiFDL6Lvh9R0nTsDj27DoCjhq3f73Bv5OFGKKArYikyYVdTeS02DpaZBlGZkeUmYpti6zGLT4Icv9gjSjKmfsDn2qOkyNw9nSKJEKZQMZjFBXAm4rbdN+kctQC1TJSsKzndtFmyVIIMsz2kYD/oFzaO5grlWxcNwmnHo7drut2vrv5eJoh/EJNUPzp2e4TuC+cbyouyhLSEPw+nS2Ol/J1nB1ihAEysdg/k1HVunZsqVorFciZ3N20kUuVKglGQYzGJu911MtXLy11omm2OfMMm5fjBj4MXHQ6QAQZRze+Ay8CJWGhoXFmyeXKpTPxLoyVMYhzFxkiHLIs+tN+nVDQxNZLVu8vRygwVb4cee7IGYU1clDmchUZ5xfc9BFyXCNOdyz2S5qWPpAk1D58pynRKJBVOj70SkGXxza4KugK2rXFmusVzXSXLo2hp3DmeYsswkzOjVdV7edXht10WURA4cnywv6TsBhiYz8Svht4mXcP1gxthL0DWFK6sNLi3W+OgTLQAsTUSVJZqmwixKeW3XYeDGlAKc69qIgsDTS3V6dYOyFLh56PL83SF/dvOArKzauzpWpWoZJBkLls75bo2LixZpCS1dYc8JOb9g4QQZaZ7x2r5TDaAdMY/MMTd8g1lMmhW0LRURAS9KqesKOY+uCpxcQ+/EkD6sTPuDWLo9wxne73irc+MkTmqP7LkBsiQhiyKUAqMgYaVRVaE3xx73+tXZ4McZJSArEstNjfPdGnVd4XAWYsgSeZJzMA340q0+37g3Zm8SAAVPL9l0mzqXezVERUSRJL746iEHTqXavtoy0FUZQ1VQZJGPX2hxebHB5dUGuqYSZwW39mdsDwNe2h6jSCKSBDVDou+GCFStP6Ikcn8Q8H99a4eupSOJ0rHGQJEXlCXEacGnLy6waBmYqsTru1PSrKTvRHQtHUWWudxrsFwzKIWSjQWLoiy5M3BRFIlJENG1DRbrGue7Nh1L5upqnXMts/p+SgFZEFldMLjQtViua2yOAoKo0shJ8pIXtqYIgsDeNKRhqAhCiRMlaIrEJEhYa1dzhSfbPxVJxJZBP/qOTsJPsgdagh/3278T251kBbf6Ln6cPeB7zAOFswTRu8fZ8PEHHA+jMT3ZEvJ2hpBPq1tOggRDFYmLKkM8fw3Ac0fDrPNqgxdVQchK3URpmARJxnAWkxY5BHCpV2caJlzq1tmZ+NQ1ia3RjCjOeGa9heMnvLI35VKnxl4UsjUNWbR0ShEWa/pR32bKNI5x/QxTl7kz8BCEko6lE2cFy02LSZiwPQwwVJmrqw2atk6QZFxdbZKUOWGQk+blsVpjfxajSPAzT/coBZGMgld3XII4589uDrm21mQWZpiaQlurAp+2oRKkGSsNjdWawWEQc+fQJy8znujUGc4cZFFgZxiQFQU1TcGLUr50q4+py7R0ldWWxvY0wjZk1tsWlqlwoW2x1jT41t6EgZugKBILlkIYZoiigCyKfPpyp/pdYpHbg5AbuzN0VaIAFEUiLeBiKeCGKUmaMZwVrDQtjJaBpsoIgCyl9N2YSVjQMhXOLdhvYh6ZDykHWUbH1tnPAspYpKTEkt+8huaVA0uVmQZVMLQzCR5gPHpchephtHXfC6XYM5zhDI/H6X35OEpsVRTZGnsIhcDFXg0/yQiTlF0npG0oTIKEpqViqjJ3h0NmQYIqifTMKqiIspy8gFlRMpzFZFnBrhsTpzk3Dj1+5FKPpMj5xMUOL9wb48QpXpKz1jQZ+RXLkSuLPLVcQyxFLF1iNEt5omMjSzLTIKZpywzCmDDOeGVnQs/WWWlZjLw+K02DnWFI26r+xicXa9zuu2RZwZMrDSZhyuVeRecpImDpMkIJT63UOfBSdEXkL++MEBDwY5+PX1xgpbB4opNy6MaIQmVT+7OYQzfkQ8st7vRnXO01ycuCMM1ZqhtkRcHIiykKiNICN0hoGBqKIhDGBa97LqoosdYxWGuavLQ9rr7fMOXaWqtKviWVWrEiSsdDxCft9GJdx1cEmnrVOnxydmz+O58mlniUrsw7sd0nB9TnugePYjk6o6Z+ZzgLDN7HeDstPydpu+YO+7x3/K2GkOENBeOTPeMtUyVLU5bNN7LIJ5kq/BPJgM2xRxDn7LnBMWWqEySM/RxFkKrMhChyf+SzYCm8fuCS5yW3Dn1mSUZNldFksVLuNSSifo6rpVzu1YjSgrWGyebIQ4gE3KPB4LapUJaQ5DlPrzaZ+Rm7o4BhkGApErIs8sx6k6W6Rk1X+eb2mLEXU7qw3DbxwrRqV0pL7mY+P3S+gyLCgRUiCwJNQ2MWZjzRtXGiBEWErCyIsqM+S0EEAbwwIcwyNFlgfxbStVUGXkJcFoxnMd/adhjOAopCIJwlfGhF4gsvHaLLAqUg8EPnF7i6VkcWJKZhTNc2ybJq0KxpaeR5we7hjKcWbbyo4uzenQbESYGmitiaxKWexe2BT9vW8OKUe0Of0SymYSo0LJ0nOhamVgniLUsGbjSma2t0jg6EecvXSt3k0I2Oy8ZztolOrWKIEsqHZ23mugJ+kh3rYJymlnscm8nDaOtOrrUzMbMznOF7j4edRY+jxL554BImOVBiuBIbbZuh//9n789iLEnP+27wF/t69iX32qt6bzZJkU3SkrVL9gdZMDyAYAsQjIFhGzBgQ7AFA4ZvaECQYV3YBqQbwzBg2bJHmLnw+JsBhhK9fLJoiovIbvZeXWvumWc/cWKPNyLmIjKzs6qruqu7qymSnX+AYFdmnMg45zzv8z7vs/z/Kk8sHfn1to2jqexFIZ9ab/K/44Tldo14COtNg+1ZyiiIaVtVO9EkFrxwrsEfvzmkqWukec5qq0EuSno1ndtjHwUJy1C40LYokY5UhTVURWK1sFmtlziaxnc2J8yilDSHp1ddtkYBeVGyNQ0YLGLWmzZxKgjznDAtuNqvszurNHtMTWFzFPCTV3tsTgMyUaCqVXZ+wwE/TPjM+Q5fuzniWt/lzjBgtWmyXrcYhSm3xjFhlBNngpZmsD2KUDWJfs3gU+sNvrcz5dDLmUcZdVNnqWkRRAIvTpmFMVf6NWqWjipLjPyMkko7QWQlX3t7yGBRVZs/f7HNnaHPs6tNMlGyiHKW6iprTftdFKAtu2rvbeiw1rLfVTE4riycjimOv/v7hco+iDbN8b3WmvY9sceDtBA+qq1+0nB2MPgRxqPQw51eiKdFzh52/f2L5kEn/GN+aVU+Ku0twpMB1fFRm8sx1eX5tntPYNmydbo1kzDNWaQZjq7y9RtDvDjhYBrSdAy2PJ+2rXE4j4gtDU2WWWvahEJwbalO2zVYb9s0Lb2qhNg6f3JzyGrdwVBlmq6BLslsznyu781JiryictVkNFVCU3VKiqN2H484FUzDDFdXWEQpz6422JwEfG9rTsfVuTP2aRg6a22H9U7JK5szRK5RsxSW6ya6CpKikqkCU1PJ84Jv3R5hmyppKjBUHSFyOg0bWZZxDI039mYs4ko4JyoE11Ya3DxckIicvUXKE/06eVEdorYnIU8u1UgVmZZrIPISVZHZmQS4loahKqy3bXYmIQ1DxVAlkKWKPztKyXM4nEWoclW+NzSJiz2HS10HgLKsqEXDTPAXn+iT5QU998ipi+IelcvjQH8WpvSPMkNhKqCQ2A8re9C0d2zzfl2BY0rb96oAPKrj/iD0iA/D2SZxhk8iUlEwiR7fofq91uLpNXa81p9dbbI59RF5ia2r3Bx4pHmJralYelUFmIcpdUtnMI958dISUz9i7EC/ZpEWEGUV/eXt4YKmbbA7Drm8VGMepTRstZpxA1xDgxL8RFC3qn58R1PZW4TMo5Q4z8lzaBoqozglK0p2piFtx+DlzRndmsUiyohFSiIKplFGWlYVa8dQkaWqZzvLS4ZxzPmuy6u7UxJR0HZ1tqYBy02b0d6ET603uHHoo6sSd0chT601cAyVQy9lEiXEsSDLCpZbBlFcQlkwWWRYqkSvoaMoMnVDxdUVokzQkzW8OCNIc7quxdY04hdXG7imRr8hGHghtq6Si5IwExx6CT1X5+aBT7umMfBM0rKgZqpHSZ4qC980NTRNPhGn3J9HTGIqshBZgbLy68cDvQ8L+N9PSPW9bO+9kkLH+DB+/3HsGz/sODsY/AjjvcpyHzbguX/R3L8Qj+/ratVU8e485LXdRSXFXoKlSpiGyopkAdVh5Gq/zo2Bh6WpzMOKr9rSVFqWzh+9vkeeF5RFRQ/npylfutglKgoMVSHPC0RR8MrelIahsT+PWW1ZZFnBTd+jLODbdyf82HqTnXnCNMxZrpt4acZwkbIzClluGjimyvPrLUZBTFGUIMvcOFyQ5QWDeYJclgRxzmpbZZEKZEmmVzM4XMSosozRUQiTjDf3PEokJkFGq6az0TCp69DsWBSFhKZKjBcJiyjj7jik6xgceCHnWg4705BPn2uSC1hv2Ud0cxo1U2OwiOnVTGIRcrnlIMsS4zBha5KziAUyEue6DsuGWbFopII4y8lLiXmWQVG1cQ39GCFgxwuYRxlLjs7WyGet5XCpZzMPBLYq82Pnu/QbJjvTsMoMqTJXW+9kfe4P7E84rfNKTTvLqrarq/06V/t1XtkakwoYLmIcy7hH7fgYx9Ry9+N+G3tUx/04WorONokzfBIxC1NKWXlsdv9ea/H+NXb89xyzye4sZB6maLLMOEiwVZlFkgIyV5drhKlgrW2T5QVdx+WGUungXOw38ONdHFPB0BQ2xz7nV+rMgwRLN/mLV5ewDBVdlnlzd04qSqJMkImcjaZDJAT90uT1vTmKJBGnBfuahKPriKLkUxstDheVdsLYj7m20kCXYXMSUTMV1loOmiRhGRI3DwLSouBgEdG1DXYmEboisVQ3COKMFy/3GHohrRZEWUnNVPjmXR9K+M7miLWmw7m2y8ir6Fav9mvMkhxXV5mFGSM/oWnqjL2MtmPQdnVkZA69mP/11ohew6AoCiaxYKNr88aeR79uMJgnSDJMgoyGoXOu5yAhoSoShlqxDX3jzoifvLbENErZn4WEiSBIc3qucdK+g0Q1pJ3C24c+SNWweJLnfHqjfSJu+qB44/2EVB+nz33UmOesFfXsYPAjjfcqy51efB9E/On9Fs3xfWdZDoAXCgxVIUwz1to2ciljGhVDwfFCzY4478NUsDsJ2Z/HWLqMKsssEoEsVWwNSAWHswxRwk8/sczm1CdMBPG0og99aXtGw9b57taM9aZJlOTcmSzouZWASc1WuTsM+O7dCZ853yaMMuIsJ0wKrvZs9hcRWVGiIXFlySFKBTcOfPpNi7Gf0LF0HE0ly3NmYcLIj2mYGkM/wbU0FmGCJiv4WUbLNZBKibvjiLyAcy2THJnlhsUbOzP2vZiOY5AVBXVD5819j4tdl5Ef88RSg1Iqj9iUZL55Z4SuKhRlwfmWjapKOIaGrSkUeco8yrAMBVOWeHlnxpWlGoZQoCjZmvisNQzGfkU7NwpiTEOhaRgoGuSlxKV+DVWVWGu5+LFHTVO4fuhhG2rVG6q9u5L0IJvRVZnBIqZh6sypqOyOlYy7bsVSddo2H9Y69H54mA3e7/g/SFn6vf7W8QHmWBznDGf4UYYoqqywKimPLTh6WALpdJXg/r81DVPmUUqJRFYW1E2VWZBgahp5UVUtj1XNHV1l5AXoMoz8lEkQstK0CdIM11bZkGxalk6aV3vNwTzGNGREVgIlh17V6tNxq2c58GMmXsy5rsN4HuElJV1LR5Lg0+sNdmYRT680eG13RiwK3tyfcaHj8tRKDVmVWHZsNBU2J2FVYRiFWLoCpUTTUslliUQU/NhGk7iE8w2D1yebjIKUKBN0HJ3dcYhjaYz9BFmS2J2GtCyD7UnIUt2iKHMajkqU6hiGytPrNe4MQnJgGlRkG0meM/JiFCo2u4GXkhcFtw4WmKbKPM453zbYaFq4toWpyNzYX9C0TXZmIRstg9f2ZpiazGgR03UN+g3zRMNmGqY0rap1GMDSFcwj8gwkhXny7kHz9/PJHzUwf9gB4FGf4XHsGz/sODsYfEJxevF9kEX7sEVzemhs5Mf0HI15Cl/s2FimxmrdJi2KkwxxxU8N+9OIl7anvHixzdWlOpoiszOLWW6YLDeq9pdqbUt889YI+YjxIUgFYZLjJ4JLXYe7I5+ffrKPH+estSwWkeD2aEJZSCwiwWpDY9+LqnKxbbKIBaoi06vpLDUs6rbGy29NOPRiVlomnzrX4qnlJnIp80dv7qPKEn6aYcYqo2HEG3tzLnQrpeaLHYu8KFltOkhyiCMUbE3jwIsxVZm9EKwDnyeW6yzVLbbtgLWGRVoUtGs6W4OQpbrJ2E9Ya5p8b2vKMMg417J4dWdKKgq8RLDkGHhZTktR6boGqiwx8RM0VabIJe7OQjStCs7XGjazJMNRFQ4XMVEqeGk7wI8EiiZhGjLn2i4TPyYWgiWzGlT77Pk239mccKnr8tLWhLIo2YpCnl1vnmzAx61fAEEsuOGFJxUDANtQWWvZ3DhilpqGKb2aScuE3qnBNEev+K0bpv7QTeBRe5Ph48k0HR9gzqoGZ/ikIKjkXx6oNfK48LAqwf0HhjARzOOU8y23ale0XQ7nMRd6LkMvZp6kaJLM635M21LZ9mF1GlA3DWJRcm2pzpv7cxRZwtBkVmoWgyBlEsSUgUSQZoz8lLyEvCiZxwLDTNibBJi6jK7IyIpC25HxopTn1yryjDjLOfQTVho2r21PGPsZpiyjSCWqqnIwidjo2CSJYBRU/k+W4cqKS13XuT1a0HINFE2hoSrEScwbU7DCmK1RhCjg4lINqSwpj4Lwa0suu7MYCfju9pQnlmsceiGyJLPaMnliqcntw4Bv3hxiaxqlcqT8mxbkJRwsYlZdkwyoOxoXOjVajsrOLCLOcrqqgsgBJA68kJ+42CEqCp5YqbM58vGTnAs9F/uosv+t2yOuLdWhbqIpMjW9oht/aq1FKop7WoSPySWyvMCPxT0EJPfjowbmD9sHzioBj46zg8EnBA/Lpj6IVehR7gGVKBkS9whdjfyYhqWzNQ6YxhVd6TOrzXvucZyBbVo6r+7OKMqSmwOfp9ea9ByT9aaJTKW2eG2pTpYX3Dhc0GkYlAJWmzY3Dj32ZxFNR+PmoY+fCpYb8KlzLRxd5ebQY6VmEdpVmXQWp6iShCRJ9B2TaZrScw1yDL54pcvruzOmUcbdaUicF/zpzRFXlupMg6pvdBGknO/UGC0i5mFGp2YjUfDzTy0z8FKiPCdKBesth2mYskgypl6MY6ssYhjMEgzVZxYKXKvK3kjASt2gzOG7dyd0HIOXtmYEiaBpawRJxpNrDV66O2Gt7aBpMnVNRVFK2q5Ow9C5Naxk55caOv2axZ1JQNPSWKQZV7oNbk88PnuhzSLNoCyJheBqq44kwfbUx9VUHE2jZVeCOkEicE2FOyOfvZnP9b0Fn7vQxovSk9auTOR8Kxvzpcs9Bou4Gqib+PcMmN0/cCaVOQ2dezaCIK2YizTl4QHIcf/q/izk6dXmn0sJ+GxDOcMnCR+nCuwxHtZb/sbejCwvT2bQbKNS3k2L4sSfrDYqusz9ecjmIOQ722MMWWGtbRIJ+JObEz51rsFS3UJTZBqWRpaVSMCBH9KzTXp1k+9tz2g7Gks1gyXXIBUl7brJSs0iTSptmRJQgJsDn4Zt0HYMFFVCUaBla1VCJ7AZzGNsQ8PWNW4cLohEweYkoqDAUVVmmeDJ5TqfO9/hjb0515brDLwIPxbEecr1/RkihzvDEBWJvVnAUkPnYrfGnWFIzdBYrluc69r80WsH9GsGAz9Gl1XmcYYfC751Z8SbBwv2FzGSlPDZ9TaOWTHOJUKc7NfrdYuWo/HkSp0kK3hld06aFYgCSkoMTWGlbmCYKl/YaPPW/pwsLzjXdE4++7cOFgSp4PbQ50LXZRQnKDJc6bsn8cUzq012JiFDP6HnGicJlmMGxNOBeyoKBosYyneExj5su/PDGI8edOBIRcHQizljNL0XZweDTwgedoo+pvV6lOzQ6XtkouDtwzk18x0xqmmYslq32fNCbF2mKKuy7mq7uCfbq6kyQVKx2fzMk0t8Z3PCZ8+3OfRi9mchJRKDRUySl7QdnaalgVTSMY2qn7QoCNOcpq2x2rKJE49pkLA19Vlt2by+O0MqSxaxoF3TWW3axIOc28MpDdvgzf05F7ouHcegXdPZHUdYioyhK6y7FoUMuVyyOwmZJgl+LCjLgkkYc77jsNZ2EKKkV1PJSijlku1BwNY05PmVBl3X4MbBnO15QG2hY6igqBKpKEGF/WnC9jSg4xiEiUBXFC52XaZhxkbbZhpmpCLnsxfaUMDPPLXE2E/ZaFuMgiNpeVlmex5g6QqWXmlCZGVB2zYY+BENQ8W1FJ5ebVAICdfQiLKSJ5cbzKKMRZoy8TNSEdB3qzaqfsNibxYichgtQu4MIqaRYHMS8dz5DnteiCJJvHHosdpx2Z2FPLva5Pqhx5Ve7V2O9/RwuqtJiKIK9HsN5X2p6Y43iv15yDTIaDr6+2bsP64S8Flp+QyfJKhHKrD3s8s8TjystzxMcnanIUjlCXnB6Va+49e6pokuy/zZnTFRkpOrJYos4aWgBCnXdz1MVYUyJBMlwyDmYB6iKipJFuNaGisNi0TktG2D5aaJLEFNldmahFzq1Y4Gdg1AomnrpGXJNEypmSquqVPXNdquxpPLNZqmygsbbUoKplHK1E8xdJmWbbM7iTjXcWg6Jv/X9UO6NYtXd2b0aiYDP6FhaeiSRFxAnuXcnkZIqsR4kVEzUl7bn3Ox47DUNBGFxOcvdKsZiJrB/3hzQJhV+8Xbh4tqhk+VcUwNU1ewTZUC2NxZkOUSooSihM1xiKNpBJlABgxNomlrZHlJUatY9JZqJnteyNbMx4/yEy2C8+1KIPTuKOBCz6nmUY7s5nQMkYqCURAj8oqN73S1OS2Ke/z+wIu5frigfnQQXKqbD41ZHtW27mc8ehCmYUqaFwTikW//icDZweATgocFYR8kG3raSWd5Qd3SURXp5ES+VDfZmYSkoqwYfhSoW+q75hhO8xqXwIuXu4SxYG8WkZU5DbNi9OnaJrahkuUFQpSkRU7d1JgnKVIp0axpdB0T+jBLCp5eaeJFKXGasT9LyEowUom9ScTmJMBSFQ69iKv9GpYhk5Y5d4ZBNcC1iHBVhVrPQZHBkquBNT8qyERJLEqmsxDX0KoB2SJnlhRMgoB+zWDkJcSJ4PZgwXpWEOYFcVLiqAXzDK5aKs+tNYiKgv1xxCxMeX13zmfPt7myYlK3Vf5iy66G3LyIrIRFkHKx5yLJEKcVE8bmMEaSSvamES1H53AWc75fsQepssKNwRSpLBFFQbeu44WCUqnKt3JRsjsPeXK5QSJMNNlHlQwO/YRS1tidhXx6o82eF/LCRou83MMyFDa6lRBd09Ir4TK3Uuu82HNJ8wJFkXhpe8LnL3bvYbaCe2dOAgFpXrA7CQmF4HzbfSit6DRM2Z9FTIOElmOw0rDexUp0TIl6/LozBqEznOEHH++qPB9liptH67aUKp878GI0VSZMxZGGjc5yyzpZ+y9tT2jbOk+vN3ANlS9davP2a2D2LK4s1bi6XMPWVb5zZ4zIoeNWvfFPLNcxNZnvbk7oOQZhmlO3dCSpIo2IRM73Nqe8cKGFrsrUTY1JkDEOYyxVZbgXcTCJUFWFp9cajPyKYjQpciigbqo8vVKnZmmossxPPaly/WBx9O5l/vDVfRxLQZYkXrzYRpQla12Xb74JwyBBVSQiUaBpMq/uzvCTlN2JxDOrdfYXEYqkYGoqt4c+h0GCUsJb+x6//MIqLwcx59o1JmHMzjykHqkUEliyxnjh0zAUXEMhTHK2pgHPLNdJRcGljoOqyhx4MXVLJRYFu/OQz53vsggFAzUkTnPmQcZQjWnYOk+vqhX9NlWFyZDvTfxMw5SGVbHS9WsmAy8mFSVBKt5NMiFB3VLQjuKJD9LJ8DA8SmxzTK3unEXC9+Ds4/iE4GFZz0fNhh5ncEd+TP1I8nyj7bw7CJNA5AVzUdAzOZFOPw4QB0e6B7auQgGjKKZu6nhJipeIyjnIMpmodAfso0BTVSXsUuPuxMdUFOJcQKmxP4vwk4zn1hrYmsrdic88EqR5zvmOAxLEyRGLUNPgM602ZVEyi1OKomQWpRx6ES1LI80LzrcsVEVB1xVuDgO2xgE1XUaTNLKyYB6lJMMcCQkJuLri0q9ZXOjbTO6mlCVklGw0Hdp69b4OZ5XDf23Po+uaJCJnEmQVk0SQ8Gm92oDGQcrBPObJJZetWQSmwjwVzP0UWZHYnsRMk4QoFayVNmleoKkSRV6yPQ+QkWlYOkMvwgGu9qrSuygKKGB/HrFIM1RJ5i8/v8aza03ePJhRFDCJ0opez1TpFiZNW+evfOrcSYYIqtafY8G544385tBjdxKeUAquNO2qn/ToGkevBphX6waGDF4kSIsMkNic+DyzWs0uBIlg5Mdc7ddPqgn785C2a9JxjHuyl8e2dLok3bL1E2YreG+aurMDxBnO8PHgUdbW6fXeMHVGQUxZVhGmqkpstKrETZYXDP2EoReR5SVxGiHKSqdlkQoWYcokynh2pcFyyyITOU+24Nnn1znXqZEWBVIJyCUdW2W1ZfLFS32GfsxXXttH5AWynPDEUh1Rlqw0Lb63PUFGxnEUNicBnzln8PKhxyzIoKxacvxQsOuFtE2d13bnvHC+eaRsLBEnOU+u1DF1BU2SOAgigkSl7WjkouRGIlCUAj8qMTsKYz8jFIKZn1AARSHRdXVWGxaWqZNncHcc0mjo5AW0HJO39xckmSBIMkwkfCFYbdjcGgZstFz2phG1XKvYnCSZpqlRmvC008A19YqSOwORl/hJzkrdZhgmGLJClhdEZYGKjGseiU4KgSIpSBJEoqjmOrTq+5lHKbahokvlSeLnOEN/HJD33Hey/5JUnhwmTqNfM086D3RVPlEsjjJB8wOQo5zGo8Q2p6nVz/AOzg4GZ3gkTMOUkR+T5hWt23qr/q5FelzqlY7EwyZx1UrUcKx7Dgdbo4DdWUDDNjjfcYgywZVena5TceBnecHtYYDIK/EXW1URWck4jHE0lTkpa20bTZZYJBn9uokkQSgEUZLzvd05PVvj5tDnc+e7TMqElq1j6zLXlutcP5gzCwW7s6qF6HLXZbhIkApIihzX1PDjnIN5UAnZZAJVkQClYgdCohAF6x2Ltm1gGDIty6TpaNRNDV2V+MLFHt+4M6FTaHjjEY6mkRZw/cCjKEtWGjapKFhpmmyOK0q+g0VCw9Ipy5ICMHSZKBZ0ajqH84ifvNrhjUOfXJQ4ukpa5LiGimUoGLLCwEuQ1ZKOazILEw6mMU+s1bk7WmDrGq5VBexhLhh6MaEQUEoUErRsg6ysDm77s4h9LeTplebJfMihFxMkgrcPPNZaNo6hnkjdNy2Nlm3QsPWTa0xNQVVkRsSUSAz9mGEMn9YV6lrFQHW+7Z5khrwopXFUkdLUSiCt65pkWcE8rkrVwD2qmcdta+fbLtPw3SqY72XLZ8PEZzjD48ejrK3TFeNjMoqmqYEElqYy8UM6rs2BF7EIKzrSQy/Gj1Ne35mhqTKKKiEXsNqoaK9vDwNstSSn6nO/MfLJspJFktEwDOK0pGkb7Hkhu+MITZGZ+jGfObeEqsosNy02hwGKomBKBW1bw89yvn13Qs1QcCyJhu3gWioXu5UejqlLvLDe5MYw5ELb4tY4pO1oiKLkzihgEVUHlyzLkSSJZzcaNCyVnmNRlCWLOGNnGlJQoskSTR3aNYOlhsXlfo3LfYf/z/f2aNsqui6z3rQYhQmWLhOmUAA5JVAwDBIMRYICLE1ivChoHCXcVFmmZsmoikzXNRksQgZeih8KlpoGjqXiSBoSJVJWVafTPKW50JGKiDjJCbKUi70aK3Wbpq2fEE0sooz/9faA51ZrwL2zKamoZg7nskyQ5jStowr/0e/ei7b0tI08aCbhDB8vzg4GnzB8lIGe49Le8XDQ/fc9ztiqWhVET1II0uwkM3zcNvL2oUeUFqRFTL9mcKVfJ0jFPUNHFHDgRfih4G3PI04LFrEgFSXPrjZPSpHdvDgJMod+jKXHfGqlzvf2Zjy31mSRpPQbBpoiYWoK37o9YbiIKIpqGM1PBYswo2ao3B4FjMOEi/2SvXlEy9RJU8E8zsiLguWmTdvVUaRKXn6pZiFRycWbmsy5toUmKTyz3uD1vUqhOc9LXujCat9BFFAzKr2DvJTIRMEsEnhRjiQBomQWJkyCiIZhIEvw5FqTm4c+rqkxjwt+6toS+4uYIi/woozBIubFy11uDQLGQcXmlJYlQpTcHPu8PfCoOyprdYcryzUkJIQo+PbmiIudGnfGCxxdxUsysuPhP1HScqsM/DHb0HHmf6lh4kUpulpRzo78mCvLdTS5UnMeLapr5mFaZYdKuDP06Ls6KrA7jfjcpd5Jy9Gxcnb3KGN03KZ2vBmEQpyUo+8P+IO0+t1xOxHcq4L5Xrb8KO1zZ5WFM3zS8UHXwKOsrdPEBFleUDd1wkxwvu4yj1JcU2N7GpEXOYqq0LB1bF3lT64P8JIMXcg8vdxAlAWuoeMnKY6pIZXVAO3uPGRvEjFepDimhISMa8hsjnyu9Osc+CFhkvK5Cx28WKAmEn92d1T1ySsK53pWRZUdxyiSTAG8eLHLdzYnLNcNajWVZs1gpWZya1SJkX13e8a5roMhK7y+N2fgJeRFgabIJGmOa2vc2PNpOBrLDYs0zzFVFUku2GjWcA042IZLSw5enHPohfRrJhd7LrMgYbVpEuU5hqLg6iqpkaNKEhMlo0gqcbZJmjEfFcRplWUfBQmWLjGNYsZhyWfPdzAUCRkJW1doWhodx+BC1yXMKl96MIv45u0RWV7wxoHH5Y6DY6m8sNHhQreqHB9/v6kouDnwsTSVsV8pH5+eTdmc+BVzYBzTcnU0VT7x8ccJoPdiJjq2kZ5r3uPjHwdO2/UDChifeJwdDD5h+CgDPe+ViT2dsb3SqzPyAjo6yJKErasnGQJdlfn8hS4wwtRkujWTWVhJrIexwDar1iNNlYkywe4k4mARMwtSLnZdri3XWe/YrLfsk8W91rSrTPc0AgmWWzZxWSJLEmtNm7QoWWvaXD/02J8HCFFl5ClLNicBNUvnuZ7N0E+Qj3zUas3i0EtwTI0oLbFsaDg6/brBzYFPXsDWOOBSz2FnEnCh47DUtDA1CV1SUZSA7VnIX7jaYXcOi0SwiCuGpizP+bO7U/KiQFVUXFNGKmGlWWN3HDMOY7anYSXEFiQsYsGdScSn1urMw4ympdN2NP7w1T0MRebrN4fcHoRIwDwW/MzVPlBy88DDNHSCJENRFOZJQscxCESGLiu8deDRdnQOFwmOIfPK1gzTlOk5JlIJu5OAqZ8SpoK6qbPUNNFkuWoDowrMr/br7E5Cbgw9Vpv2SYCvyTKzKGPoRbiGjiLLCGCtZZ5km07Tnt4/J3B8IDn+/9MB//3iaqdnXB7Vlh/l2rPKwhk+6figa+BR19ZpVrxjWuNjfzLwYjK3Wt/ZUdbZVlVMQ0JLZVqORiwKSnIWccaFvkuYCGZ+ypsTqG1PEYWEl6T4QkaTq7ZP05B568CjYepIrsz1wYLVpsnOOMJLC+JEcL5t4ygaozhlbxoRxwLLUliq27RsnbujkJ9/ZplJUDEBGarE196eYmsKihxybaXG9iSoiC8slV7dwtJlgkjgWhqZKDA0mZEXI6ySn7m2RFaWvLY9wZBgtWkx2J5jqgoHfsiSY/CXnluFAsZhwnQhiNMcJImGoyKPQTcU6poOeYllSNR1gyDLsVSJw0WCq2usNWxuDgP+ynN1krzATwW9hlF9GSWsNKr3pykyWVHyP944YH+2oChyXjjfRpOrmYEwFsziKomkqTKfv9zh1qHPFy61+NP9d77f9EibKBMFz6w2GQYxzaMW5GObej+7Om1L98+ufVSctuu2pTzWe/8o4CwN9gOG40HM47acx/3648X/QU/f99/3/n+3bB1Nrnrc9aPMgK6CKsvMwuxktgCqRf7jV/pc7tXp18yTuYS7Y58gEaccByCXLKIMkReIssBWlZO/D5xkH7K84MALiZKcu+MQIUr2ZhG3D33iJGd3HqIg0a+bOIbC82s1/ERUVJsjDySJi70aqixxoWUhySWqXMnEO6ZKyzZJs4LtQYhSSMzClJqrESQF+/OEu1Of9aZF3dJBohq4qpvISMwz8OMM19IJs5wbA5+ygJ1pWMnWOyYbHZcr/RrPrldKwRsti/Ndh2lUDVonScrbBwv8LEUCbh4u6NYsplHGziRme+pzfTinrisshOBCx2G55SDygqtLNaaLGC/MmCUJPcvE0lW+cKlDmGWcq5us1m1qloIfVkG4qkrMIsHW1GcWZWxOA+ZRiqbKJ/2gzpFGwTxOMTSFwaJy/scQeYFrqfTrBk+u1Fmx35k5Oc4m7XnhifM/bU/Hm4JrqicK2/fbcL9mvut3H9aeH4QPu1bOcIYfFXyQNfBh9q7jzLB95BeO1c/XWnalaTMNCZOcUAhe2OiwVDNYrtkskpRMgCSV2JpKt2ay7yWMY7gzCGmYOit1k7LIqekKdUNFQuILlzpYukpeFuRFyd1hwEbHpG1qNByV810bQYHnp3h+xs1JwM2DBRM/ReQl5zs239ueUTeqltHv3p0iSSVJXrDcsDmcp1zq1ei4Bs+d73C55/LUSoOnVutoqkTNUnlrb0aQ50ilxOYs5HARIysSXgaxKHlipUEqcuK0JC5yrvRrzNOUrVElwqYoUJQlw1lMKZXosgoKWEcJGNtWOdexmRyx2zVMFdNQWO9Y7Mwi9mcRg3nC3XHILMwY+5VYZxBXCRtdlsmLElVRqj0jzBgF1R47CmImQbU/t2ydrmvyl55bfZd9DLyYWZjRdU1KiZPK7jGa1rvt6kH281HjoYfhg/r2x/kcH9d7epw4Oxj8gOH0SfbjeP1xwPVBg6nT9z3mm94aBycB/zEN6UkGyFBRZbB1+cSRPOw5+jUT21BYa9t40TvXth2d822Hq8s1Vls2PcdgkWQnWeVj5pq3D+dkomC14ZDkOZe7NnfHAWUBozDh5nBBHOe8tD0hLwr6TZNBkPH0ahNVlmjbJrcOfQ5nleM98FIc3WAYpJR5ScPSkEqJRZQSFjmWqfD8WhNLkSnkgizLyQR8886Y3XHE/jTENRWeXq6z3jDIC6iZKm1bZ+Sn6IrCKEzRNQVLUxAlvHUw5429OU+tNvj8pS4/9VQfRZH4/Lk2S00NU5WRJYnr+z5RmhPmOZMgoeuYSJQgyfQdg1ksUJGQSojTjGfX6yR5CbLM/iwmzkruTgO2JgHfuDUmEyXh0edpKhot1yDMBHGSs4hTrvbqXOq4rDZMMlHg6OrJcPDmxGfoxQy9GF2W+fS5NrMwZW8WAWAbCisNm5WmjXtkD8ftYufbLrahnAw2nx4oDhLBjYH30EPoh7Xhh9nzw/A4/s4ZzvDDjA+yBj7s3nX6b6SiYGcS8sb+jP1ZhKkp5EXJlV6dhq3z/EYbPxEVd76fEGWi8kuaiqspNDRYbRj4aUavZuLqOnteRCyqtsZv3BqzNQkIM8HBPCbKCpK85OKSja2r7M1jKCAtcixLoWNrSJJEkGX0GwYH84iyhFmY8uqeR16AEAXPrzW52Hf4/MU2hibzC88scanrcqHrcGvo89L2DFPVGPsZLcdiEaXULA3/KPBWZAlVBkORWG9afPFyj4NpwHSR8s07YzIBqiShadUAsoKEolRJMl1T0JEYLmJkIE4L7g59aqaGoWnULANNhpt7C24PfbKyIMkrmlKphGmUMA8zXtubkYqCvVnItb5Lv6bz/LkG6y2bhqUzjyqWoY6rndCbP8w2sry45wBxnEi6MfAIkkrg7P7XDryYrXHAG0fP8VFs6oPY3KPgcT7Hx/WeHifOdrwfMHzULOXHleU8fd9jvumtSXhPwN+ydaJMVC1FiaChV+xDx47kGKcDvdOtI7ZW0Z8FccVYsUgy8rzEUCU+c75N2zXo1U2irOo3dHSV4SJmZxJyfc/Di1PWWw6jIOX5tTq6rjAJUmxN5ut3RpQF3ByGhHGOH2fUTZWfeHKJjqOBJGGbKk3HIMoEO7OqzcXWVVabFjVLrVpkJIluw6TIS6a+wA+qg0LNVEhEwUtbY946nNN3LTo1g/1FSiqgbpt4keD6/owkEzx11Je/Pw24e+gxmMfcOgz42ttDDucxbx8s6LgGd2YRz661+LHLXVRF4vnVGnlR0DUNoGTPi+jUTM63HAyl4qyeR4LtWYimaQxmMWFaUOYF5/oOliYz8GIG84h5lCBJMFhEuIaCZchc6rggwSLJqJs6miaz0XUwNZVFnLE19vmTtwfcHfnYekWZ55galllR1FW81VWZ+XQmEDjRMUhFgWuqPLPaPCkRH9vX+bZ7YkPHjvP9HOmHycCcVQPOcIbHi8dRXZgetZVmR4xr59oOL17qoh+JY0Wp4FLf5WAe06vpJKJkdxry/355m0jktCwwdBVDUYhFjmXIrDYsgjRFkmAeJQzmEQeziHMtG/NIU8eLclQkxn7KgZegKQqWrtCtmaw2LSRkNochlq7i6gqqAk/0HRQFntto8cx6g7WWzfXDBUt1g7cPFhzOY7729pBXt+ZM/YxbgwWFgGkQsdJwgIKtWcjYj6kdDV8fzCLWWjbIVZvkt7Ym5GWBjIRpqsiFzJ2xj6DEtVR6NZO2ZaJqMm3HYOgnSEVJ0zLpuAZP9OqURcnYzxgHKdtjn5mXsOTarDZtDFXh5oHPKztTLnUr33ux7yKAZ9ebmKqGHwvGfkIY52hKpZnTtPSjgXDxwO9RU+V3HSCCtPLrx/v3/cjygq1JVSE69vU/KH76cT7HD8p7ei+czRj8gOGjiim91+s/yCDZg5SSW7bOYBGTHc0LnOtY9wT8x2XhgReTiQxRQK9mYpnlPYvg/kDvNHVdw9K5M/QReY5r6uxOA+K0ZH8e8qmNNuJIAfO4V5ESxkFMKoCg4MmlBt2azuEswdZVBnHM67sznl+vc+NgweWmjZ9kXOy4WLqCoijUdJkyh51ZhFRyRBtXYmkSl/o1VFXCKitGIsvQCGNBQUkQZwzDlKWagaEI3trz2J0ErNRNxn7GWtPG1iVsDbq2xsTPUBWFUJSUCKZhxiKqAve1pk3L1ag7Oq/szZj5CXvzhOc3Glw/XFAUJaoi8b09j//7X7jMLE6ZpymWGpMV0HF15nGCIsmYukxdVYjSAsdSaegKsa1woe1iajJLNZMbhwu6rk7N1rncq3Ewj/mJq31mYcqbBzNEXrJSt8jyAl2W0VSJuqXz1r6HoSkVZWrb5rPn21w/9OgqBrtHGha6IlUtYvfZ044PW5OANJfQNPmBg+z3KybD+w80fphZgDPRsjOc4fHig6yph63Zll1ppSBV7SZBKghiwbc3R8RxQa9poImSpq0xXiSUlEz8hFKCvVlEUwVDqaifJUnj6lKdrXHIxV6NWZSiyxKaIrPRtIiLEluR2fVCri7VeHW3QDdkaobCPCkZzWM6dYNSVei5JjVLZqlhsdqyaZo6/89vb1KWJSUlB4uI0aJS//3TmyNUWWEaCM71bJYbBlFWMA1SNuOK6Q5JwVAk8rwiwVBkmZoC622bl+5OGPgJr+7OiTLBS3emrLcrIbGsKJBKCeQSWZExNIWyKKhZJosow62Z+Kmgbutc6zWIsgyRS+xNA5YbJqIo8IXAtnWW6gZ3xj6LSFArVIZ+zNOrTW4MPC53Xd468CgpWK7ZzKKYpmmy0rLuoYYe+TENS2eW5fd8v6fpR0/rzsDDCSK045jiqLqwMwlBqu71ILKTj0IM8UGHjx/nfvHDsPecVQw+QfggJawHXXtMWTqLMjquga2r9/SUHy82gBIIxINLdi1bh5KToHN3GqIesdrYusrFnkvbNdEUiaWGSZbnuJrK9X2PnmOetDM5uoqmSFzuNnBNiZ5rMljEqLJCu2YiKyV+mmFqKhIyf/HaMhf7dT59ro2mKvTqJl6cYMgyf7Y1RZIkCkkiFTmyJIECRVnQsjUOZhFJLNBliY6jU9M1HFujZWtoisLAi/GSjEWScnMSkImCAy9iFqX0LXhytU7NlJnFGbuzRVXJ0GVcQ0fXZZ491+T/+NQ617oucZIz8VPyomBnHLA3iXhjd872KGR7EvBfX9ri1a0ZKzWLJ5dbXOk5qAo0TR0/TnB1BUvT6NcMDFVmHGaoSJiqQtc1adcMPnOhzUrToSwlZkHGctNiFqbcGHhsjavvIy0KJn7FKnWlV8fSFT5zvk1elKwdlZdncUrLMQhTwSiIWcTiZM7ktA3NwpS8gEUsmCeVHQ395IFVgftt5v3Kvu+Vgflh6Oc8wxl+lPGgNfiwNXs8Y7DesglSQZYXvLY3YxzE3B57LOKMUioZ+ilxXrHvNF2Nmq7wwnqTFPDTnDAR7M1i3tyf03UNZkFGWUqsNB0+c6GNaWk8s9akQCLLYXcesd6wsVQV11BZBCmyIuNFOU+u1HhytcaLl3pEqeC17Rn//a19bg0WFbXzNGFnHPL2gccbux5IMqNFjKFLXOu6/B+fWueJlTquqVIWJT1bp6BkEmQMFhFxlnOhbXK5AZIkMVwkbI98/DTDizOGYVztB2VJy9Zo1lQ6lo4mySSxwM9yLF3BUmT8VJBkgjDNuTPycQ0dpIIvXe3yk0/0sBSZvJAwFYlZnLPesqiZCt2GeTJg3HNMDhdRRRxiaGiqxEbbpd806Neq/VeVZe6O/YqN7kjT5v7v8dhnH/v2Y2ah4/37fjStin3qSq9iKRwezT48KF75uFuuP+k4qxh8gvAoVHIPUpU9/fpjylIkaKhVRue4HeQ0W4yuyCjAG3seK02HYRBzvu2eXDsKYsI4J85z1po2USpwDPWkRShMBbamsjMOCdKCb98d8YVLPa4felzsVbz1mShoOAYtG+pOnZ1JeHSQKFipWxS54I2dOYdJQQEceFVWfBIm1AyFb98aM4szBl5CWRa8feDxpctdNicCQ1UoyxLT0DiYxiiqTKNmcGnJoWOZfG9vSpwK8qJA5DlPLTmMvZjQMhBFTphlrLUNTE0lovq8ZpFge+RjqBJyqfDZCx1EVpBLJaYho8gSWVmyXDeYxyktS0MUICkS7ZpJ3VDxYsG37k6wNI2rfYfn1loEWVH1gIYZhqTy9Vtjmo5Gw9KIspIoyWhYKjvTgIal0XWrbMXBLCL2BUGaUTM1DuYRoyDG0TRark4plYgor/QJjjQLtqchz643KwakqNpE9rwQW1UZJTH5UWuZHwv25yENQ6dfM8kyiaYJ15ZqdOvOiQDao1YF3gvvlYE5YxY6wxn+fPGgNfgoWdNjn/DsahNTl7nYqlOzVDbHPlJZYMgKQpRIikTD1jF1FRlwDZWckiyDaZBhKiFRnuPoGh1HZ7lpUU8Eu7MQUVRtpdvjgH7TYuwnBElOLHIMTWGjaeNHgpoh2JlFvLXvsTWJKMoSTa5aH59YdtmbxUwiQctSSEVB2zHYaDogSyiyhKZJrDRNri3VWSQZB9OENw6mBInANdSj60CRYB6nJHlJ06iUkzumznLDJEwr2mxDVpBViVXXJBQFszAmiHJMXWHgxyBJbE8CVhsWb+zNaFs60yhjbxKQFyWzIKF7ocUTyw5xWrLSsoiTimgjy6t9cB7mvLU/55m1Buc7LsiczIMdt3RpyLy0PeFyr0bLck++Nz8WJ4xzQSrIigJNfqcN+WH++H766ePK0YP2hNP7xYepHtyz35T5+7/gE4azg8EnCI/ijE+f7u+/9jRl6f2y9lAttoEXV2VgW2d6pGPwjdsjVprWPUq3YZJz/dDjcs9FFAXdo9aT4xN846gSEQnBxE+wDZ09L+bzHYeDWUSnZkAJulrpAczD7KT6cKHjoqkypSTRtnT2vYRXtqdstC2+8sou11ZqvLnnIXKIs5yaqTD2c1RKXtqa0m9auLrKhZ6NVMgM4xhFkXEMhdWGzbfvjLk79hnMY+aJ4JnlBvteynrXQVZkwiTHMRWKXCJXcnbm8P/65havHc6xTQXygo2OQ8cx6LgaFDKlVLA9Drh+MGcwj3nxYptLXRfHVPnGrRFtpxKDe3Vnzmt70+rQoqoMo5g4yTnfdlhrmdw89JlEOVle4kUZQVrQMDWGfsYLGw5jP2FnHrLesKmbGt/zEgoJdqYBjqngaBqWo6CqElFSEKc5Nw49XlhvV72hjs7uNDwZSNubh2SiZCcIMZXqdZoqsznxq8FmRaCrMlIp0zGp2EY09V30cx9XefXYJrO8wI/FyaZzNlB8hjN8fDidYDpOJn3QQ/9pn/A5twvA63uzSjDRS1FUiRVNZZFk+GmOVJbMM0hyQcPUCKSchqVyZxwgIaGrGf2aSZgKdqchmiSjKhJxlqMoMrcOfPoNg1TkLDUsWrbGesvmrYHH9ixioynRciwO5glFXnBtuc5nz7VJS8EiyVmum1xccllE1UHj+qFHJDKW6zZNQ6PVM9BUMLQaX0+HuIZKmgvyvOS/fneXcgrX+gl+nGEZKposs6TKOKZCluUEieCNAw8FWGs5bFyxWWpodBwNw5CJk4J1JN7cn5LmOWVREoQZQz/hxniBqarcGXistR0oJXRZZTdcYEQy7lEb78E8wo9SBl6IqspkeUlWFnStakYgOEqwd2sm08AjSQpuDX269jv+/Jhx7rW9Ga6pIUmVoCfwnrZwOlg/rhw9im0cHvn3D9tKmmVnB4P7cXYwOMM9eNTM7YMCuWNmoiwvmIUpPRN0ReFcV2fip1zp1U6UbjVF4nK/Rp4XnG+76Go1FBumAspq8KpfN8mW6/hxxiTM+PzFDmGSc3ey4NCLaTs6lq5gayrf3Zpwa+izXDPZnUZ85lwLqYQryzVkFTqOwZ3xgrXzLruziLZbZeV7DZuVhsE3bk4Yp4J5EpOXsHyhhatr3B4HrNQtkqRgEQn+H9/aIhc5izSjLEAuS0aLmLW2zdYowDU1Wo6GpWoURcEsSDmIYWd7SlaWmIrKtZUatl6VYMdhRpEXnGvZ/O9bQ97cW6DKEucyh8v9OrcOfWRZpihLplHKStvA0jsossRTKw0mQUogZ6y2bZ5cabDRmXF9Z8atccCTay1EUXLgxXQdjXmYEWUCQ1HYKQMsVUWUJSIrMVwJkZWkZUFb0xnOEoJUMI9T7Ezl+qHHp8+1+fqNIaLMyYSJbag0bJ0b+wuyoqBe1+i6Bvvz8KQs3bAcUlEgUQ0f705DVFV7oEjex4HTNnmmoHmGM3x/cJplrGHpJ0OoHwanM9CZKNiZBiDLyEhIUol5xCYUJimhgNuHAQ3boOPoeIlguW5yZxgwj0oG85hIVOJg1wceTVPh2rLL1Bc8s1pj80i9+ImlFheXqiy4FwkOFjHdusEXLvf4P1WJTOQ0XY1QCEZ+gm1qSBL0axamqvJnm1N2pyHjRcK5bsoXLnbYmoa0bJ15JOjWTdaaNtf6NW4c+ux7IQSgHvosN22yQtC1Dd4e+Rx6CatNi715RJJlIElsTX3ytwsudFwKCixVIxeCaeST5QWqrIAMLdeEMEUuCkZBwuVeRcrRsFX++1t7HEwS+k2DF9bb3B37REnBPBE0HZ2NtsvlZYcrvTqzMCVMRKUdI8s0bZ0LPZcsLzE1mZGfctwdtFq3eWl7wlLDxFZVNO2dagHwUFv4sMmhj1JtPsODcXYwOMM9+CCL80ElvONF6poKpgorDZNhmNFyDNKiID1yDl3XZGca0quZJ07/zsinLEEUOdeWGkB1QDjXdlnvcBRshsRpgRApqiKjyjLTJCZKcxxd5dbI56nlBm/szWm7Jpaqcr7jMFyk9GodIpHx4sUe+/OIyz2XrWmInxRcWa0h7VcUm6aikGQl3747IS9LUlHgJyk3DkOEyCiA1YbFPMxoOAZPHR1e0rxkvIjZ6Di0HI15kmLkEkkOtixTiJymo6CpMpIEoRCQQc3W2JyGNGyD1bogKQpWGiY7s4BFluDoCjeHPiuhyThKuNir8dRqg65jEIn8ZF5jbx4ynCfsHgmzHXgxGy2XmpUjCoksL+i6BjeHPhIm8zLDUhWaNQ3TUPDDjHmUoksypqGyYlqIMmdvGvC58x02Jz5xKtiahfiJ4OefWiUsAbmkZenUTY3X9mb4icDQZHo1kyDNT0RkAgEjP0VRK9ai97OzB7W1fZjg4tgmj8XSzjaQM5zh48WHXXPHh4DTbaenM9DDRUyY5OxMF5zvOtiqw9uDBWGUoSgwjuGcrmAbKos0J8tzmoZJr2EQpjk3hwt+st1nexLSsjR25zFrDZNeXUWSwE9yFElidxpimjLnWy6WqbBMpegbJIKnVxu8uTfn9e05fSdBNWRqmkbD1rh+OMc1VFqOzjQysBWF5abN5jRE1xTGYcqSa7A5SrANDYmStZaFPxD4aUXEkRUFP//0Ki9tTZn6KVleMg9TPne+y+t7U3YXIbaqsTMPSAQ0LAUvyomSDFOSudipE2cZ6w2HIBNstGw0BWp+hizLrHcsZpHgYJIwjzMaqYqXpbhUe0YmClabBpf6da70q37/TBTcGS9QZQVRFtQNjZqp0W9UlXtbkwiOZArSoqDlGGR5ge2qJ37+YQH8Rx0k/mEY5v1hw9nB4IcUH3UxPQ68V+9olmVA1VJUyso95cPjzMF622ZnErLetnltb4YiSxzMIlaaNqPgSBBNqoLenXnAoaSiaFX2v9cwaBg6dyc+pqLw5EqNkZ9yuWvzxr7HasdmZ+IfBawGWVGyP4mxdJVbQx9RVAF/3awy6aYq8+RqA47UiPs1ndf2Mgy54qzWVJmmrWJoOhstm8N5hKFr1EyZq8suZVEyjzOG8xiJElHChbbLd+6OUSQY+jGSBD3bIMnyKmOuKGhSpcq5XrOYGhkbTYu0LOg5JqIo2Wi5bI8HGLLKn25OMFRw9Wro+Zu3Rzyz0iQtcranPm/tL7g9WiCVJWGao7RtJnFMw9DwQoFQBLuzHFWVuTsJiUXGetOh5egs0oyDRYypq2iqxDOrDbbHAW8fLFAVmZe3ppzvuSiqhC7LhKLg23fGqCqokszBPKpYM0TOyE/53IV2VQouqu8vFRKOCl1Xp0Q5+lnxQNs9tu3jHtOPmun/OBU0z3CGM7wbH3bNbU585mHGS/7khKZ0tV7tD5e6Lpoic/PAQ5Mlru975JUIMF6cIVMSpnAwj7ncbyCKnDvjjAM/pmNr3Dz06dZMvntnSqeusUgKVho6Yz/lypLLjYFPKgrujiOmYYqfZmyPQ5YbFvMwZXsY8FI4YblmMZzHbE4Cbg4CXrzUoWaCqsis1i0mYcqTSzVqpsJ63WaR5dRUhWGc0rUNaoaGa2sMwxQNOPQjFBnSHIIsRZMkkKo216IEVZb4mSf6aJrCNIxpuhZemHDZrjEKYnRVJogFpqGw2jRZxAJTdZgEGXmeczCvxDU1VcE1FaQC/DQlLQo2ujYXeg6urmJpClf7Lm8eeOx5CSuNnFmYkuYFm2MfS9PYn4WYukwmSqIsZ71dCdFJRY5z9DU/bD7gYQH8j8Ic2A9CPPY48cP/Dj6h+CBT9e/HzPJhmVtOM0ukouDO0Ofl7QlTP2XgxYjinbmE9fa9FGXHDASfPlfJrS81THRZ5tmNJpZeKSgjASX4SUYmSmZpwsivHPZq3eZwEWMpKlkJl/p1fulT6yDJNF2D4Twmy8tKhTgRGIqMLJXkRcGtgU8QZ9iaTNc16To6kzDlcB4ziXNkGd7cnyPLkJfQbRg4qsrTaw3OtW2SvOBC36XtqJxrO0gl3Jn6XGi7fOZ8i6woWa3plQaDDDsLyMscVZYxTZ2/cLnDNIgZLSLujBaMvIS785CGYZCWBUla8NreHAqJb94ZMvEzbo09dAXqpoFpaLyxN+PuMOD1/YpaVJFkokygyRJFUbLWtpElCaWUGPgJcZFzexgx8CKkohr+1iSFmqGx70WMvBTXUqkZKr2GSb9uomoSTdeoKE6bBrko0RWZiz0HkQk0GeqWzixMMVQFKNFUhS9cbnOx53Kx62IfBQWz4zKyIp9Q3D7Mdk8PsVNWTFUfpkf5DGc4ww8XVus2o0VSZdyP/ENaFKy1bG6PfPp1kx9/so9rqvRqBkGUkuWC1aZDr1Hx/3frBk1XY6Vt4+oVI931wwUX2jZRkhEIwc40YnsSMl5keIlgHmW0LIW6peKYCoossz8PcTWFnWmAoShsTkPe3PW4PVpgGhoty2KtafHq9pS3ducMFjHf25niRxnb0whdVpkkKY6mcXce4gUZe17M93bnjP2EJ3ouTdegYVSV36yAIMpJi2q2K8pyenWTz5xvse2FSCVcXa5R1yWeP99AVeDaSg1TlalbKpko2JtEUEoMFimpyClLCV2WmAYxeVFAWZKXVeV2pWnSdU02Wi5ty6wIMoKMMMnIspztWVANGmcVNbWlV/tz2zJpuxrPrjbfxUwI9zJLHe/5xzHG1E95eXvCnaF/Em98HLz+HySmSUXBPOUjMdf9qLEcPfaDwZe//GUkSbrnf8vLyye/L8uSL3/5y6yurmJZFj/1Uz/F66+/fs89kiTh7//9v0+328VxHH75l3+ZnZ2de66ZTqf82q/9Go1Gg0ajwa/92q8xm80e99v5gcUHWUzvZ7TTMH2X2uyj4H5KstujgN1JxJ/cGBCk+Ulp8UF/a3Pi07J1XFNFU6uWIC/JmIcZtqZyOI15Y29GmAq6NZMkK1iqWSSiROQFv/f1W9wZ+rx5OMNRFRytEsT68at9rvVrXOjYSBKoskzDVilK6DYsJAk+d75J2zW51K8zCmLeHiyghJqlcLXnIClVNmTiZ7imTsvQCYUgTgXf25lxdxTwytaMLC94dWfGH751yO1BQJLmNByd9bbN/7g+4Gu3hpXipQyKJNO0dP7i1TaLvEBRFA7mCZMgZWsUYMgKqgrrLZtFIujXDL5xa8DOOOJwkVDTVa4tN3hipc7TKy6JAMdUMVQVXZHZngRc6tistSyeWmtg6gotW2ffiyoF6HklGOfqCkt1g0+tNbEtmVmSUpYlaVHwY+c6XF2u0XVNBl6lK3GtW+fzF7osN2wiIXBMjUUsWGk4iLJkuW7x41f7WIbClX6dX3hmlcu9+omOgaOrzKMU21AJBKRHAf/9tnvakR/bdtPSmccpZfnwvtQH4X4BvTO60o8PZ/7+DO+H4zX4MDGse64tCp5YqTMNUnRZ5tCLcY5FsY6ID55aavLXPnuOp9caXFup4VoGhi7Tr2ms2nC+Ww2t1k2d5883cTQZx9TIS7jUd1lvWmR5Sd1WeGNvjq5JbE8jFFnB1DU+tdpgo+3wc0+vsDULWcRVUsfWFFqOziwUPL3i8tNP9bi2XKdTtxh4Kd+5MyGIC946mNO0VHIK1ls2qgqGrDCPUiZ+zOY4IIgLsrxktWXimArrromhVsw8u5OQ3/v6bfKiYLVusogzbu4H/OFbh7y8M+PQS/izWxO2ZhF3BgGaIlOWIEsSJeAYCnmeo8gSuq7Qa1hstGx0pdKikWVY61gs1Sx++qk+F7sON0c+/9frB/zp7RGyrKDKCnleMPZjdqchh/OYrCgoC8jKgo5jkhYFS3WzUrufR8zfIyYeeDF7s4iXticMvJjbo+AkHnncCvOpKE4Ulh8lUJ+F1XzE7CME9T8MomUfBB9LxeCZZ55hf3//5H+vvvrqye9++7d/m3/5L/8lv/u7v8u3v/1tlpeX+fmf/3kWi8XJNb/+67/Of/kv/4U/+IM/4Gtf+xq+7/NLv/RL5Pk70+O/+qu/yssvv8xXvvIVvvKVr/Dyyy/za7/2ax/H2/mBxAdZTMfB2bHAyP04rVj8YU+8LVvnUtdBUySatoYXVW04gwfwV9//txxdZXcaQlGyNQnZm4V89c09Xt+Zc3fkMw1T+kclxisdh9f3Ftiaysvb0yPBsIw9LyRIBMMg5mq/Ts3S0WUZP8tYbzmc7zgUIidMCiRZ4RefWeG13RnfvDlmOE848CLWGjYbLYeGruMYGk1bYaWm8md3x0z8hLcPfPquQZQIsiznW7fHbE0jglCgyjKyKqHLCt/bmuPHgu2xjyRJKCqcazvYls5/e2vIq3dniLxisZAVmZqlYZoSF7ouGy2XZ1ebjPwELxIURclqw+Cp5QbPrTb4v31mA8vQ+OknejQsjc9fbLE9DSiQGPopKw0LXZO53KlULPs1k6Io6LdNVhsW7ZrOlaU6bdegbZlsjnxe2pohKxKqUlVQtCNNiXmYEYmMKC0IU8F6yyYvSl681MXSFQxVYRTEpHk1BJcVxT12mYpq+NDSKiVsR61obPs18122+yAdgwcpZT5KoH/6Xj9qmZwfRJz5+zO8F04PIj9sLR6va0dXEUXBettmzwtPGPKu9uuIvMDQFIJUULd0LnZqmLqKoyo0rCpJ4mgw8TMoJaJU0DB1hFRyMIvYm4WYqooiy3xmo0WZw5MbTQpRcqFpsj0NeG65Tqdu8vRag51JRF6U7I59LKPScGk6Oj/zZB/L0PipJ5b5zMUWXVdjrWNyvutw/WCOa2gkecmLF7tc6tW5ulyn7VTaPQAXOyaSXHJj6PPfXzugLKuA3TVhuWWxecSYdHsYECWCvICiKAhCwfW9BW8NPNKiRC4gjDP25jEgkRdVsqjjGlzt17lx4LE/C1FkCVmq2OL6NQNZAlmqKvllKRGmgjDN2JpF7M8jTFXmfMdCURS+fXvCt29P+J9v7rMIRcUKVZR40alZAQmkB8iE3eOrJRB5ganLtG2DS13nYwuip2H6ngrL9+NYg+G4vfXD4HEfbv688bE03Kqqek/W6BhlWfKv//W/5p/+03/KX/trfw2A3/u932NpaYn//J//M3/37/5d5vM5/+7f/Tv+43/8j/zcz/0cAL//+7/PxsYG/+2//Td+8Rd/kTfffJOvfOUrfOMb3+DFF18E4N/+23/LF7/4Ra5fv84TTzzxcbytH1qc5gd+UL/nabVZR1c59OIP3CunqzIXexVN6MiPaRoKbxRVhvi49+6YyvR822UWpsyjlP1ZSMOssuw3DjxcQ2XPC3FMDS+s2lu6jsndUYCpSxzOEp5eqXEwjXjxYpuaqbFctwhSwSIUFGXJbhpSlhI5JU1Lp5TgXMflm7cniKJgFKTszUMmYYqfpPix4GKvxuv7M/ZnMaYuo2syTUfn5R0PL8xYJBm9mkXbNvixCx2+fnMIQYzICz51sVEFyWHCq7tTaqbCLEx4dqVNSc64nLGx3GB3ljAPE7aijLqlsOzYUEqokgS5BGWlDXCwiDj0ElJRYBkKF/s1ZmHG63szNjoOEvD1W0NWWi5/9Po+HdtiGseEWcH+3oyVhsX+zGOpZqCpMtdW6kRpwcEs5NpSnbvjai5jHmcosoTIC6JY8J3NMR3X4ELHxTaqYbyVpo2qSCfaBxd7Lqoic7Hr8tLW+GhDiBFZSSHB7iTENtWTQTP7SJNiqWWhypXSsXaqvHxsGw8aTGvZOmEs7plHGHiVMFomiofS2d1/rzPGio8XZ/7+DO+FRxlEPl7Xjl7NH1G8s09kR9oo3ZrJyK+oKUdBzM3DBVFekBcF3VqNnqPykgrn2jZ+mlEUJd++O2YR5YRpznLDYB5nXOo4HPox59o2hq7ScisBy5WGxYGfcKXv8M3bQxRZ4e7IZ71VaRncHYc0LZ3vbk34sQtd9uch37o5IUhznliqsTkOaNsmNwc+z69r3Bz4/MxT1booKDE0lYEfE6Q5YSQY+DEyIETO1dUaxWyfdtvl8xctXtmZ4agawyBD5IJn1hpQShwsqkD/XNvGlGXujnwO5xFpWunNRGnOq1szJmFELARlABM/RZKrvTASJTVHZzSLmCYJ5ahEVSUudhxuHXiYukrd0Gi6On5Y4BsZiZfTcvVK40bXiLOCZU3ljb0ZDVun55qIo5lCPxGkUf4uzYJ+zawqx3oljPo4Zwnu7+8/tq+HKSzfD12VUSuSwB/qOYfHiY/leHPjxg1WV1e5ePEif/2v/3Vu374NwJ07dzg4OOAXfuEXTq41DIOf/Mmf5Otf/zoA3/nOd8iy7J5rVldXefbZZ0+u+dM//VMajcbJJgHwhS98gUajcXLNJwUPyqDe/7NHKXOdztK+X1bnvU7V/ZrJSsOmVzNPMsTHTmLoJ+zPIjYnPgA705DdScTdsQ8FtFydtqPz9EqTlabJpZ6LpaqEmaBfN1BlhazM0VWFz13u0K3bXOnXGQfp0TCUIBIFGjJJlvO5Cx36NQtbV3E0lWtLLn4qKMn5/760zf4sBEliqWaTZDleKDhcJLy57zEPUsoC2nWduqtTM3VUWWKRZASZ4McutHl+rcnTy3VWmiZxkXPoJdwYLHhle8YiEUzilMsrNSQJnl1v8IWrbTY6DoYqY8oKgyBFVyVMQ8bWVW4eLnhlZ8bQT2hZOsstkxc2muQCXt2ecHsY8j/fOOCVrRl+XPDW/hxDVTj0AuI0ZxFnzIKcl7dm6IrCIsl5crlB1zWpmypPrzb57taUnUnE4SLii1e6fGq9zYuXO7RdDUOWOZgm/O+bI2ZBSkmJpsh0HRNHU9mfhRzMI3RZZh6nR+1ElbiaqknoqsQ8qTaDY+0Ainc0Ke7He6kdH9tkKASZKLk58E74qsVRYPAwOzx9rx+1TM4PIs78/RneC8dr0DXVB67FVFTrOU5yXtuZESY5oRAnbaZQ+YqmVWXdR0FMJkpUFTRZwpQVxouEQy+mJsM8yqCQ+PbmuNpXLI3PXmjxqdU2X7zSZRwmHHoJgyCh4xisNGyeXG6wSHJsTebV7Tl+knPrYIGCRJTljMIEIQSv7c5YxILX9+Z8d3PCq7tTBvOYwSKl3zAxVImnV5skonrNn1wfcHPgcaHrosgltq4QRAI/E2iSxNWlBs9fbHGuadE0qpmB8SLG0RXeGs54eXvEPM6YRRkrTZNPr7d4fq1FzzGJREEuSTiWQss1qNsqw0XM7jxg6KdoSqVevzfzUSSJMMu53LM537Rp2gYrjsU4rPZOPxV8+mKHtZaNooFUyIiy4MmlOmtNi8tdl2dWm7ScyteP/YTrh3NuHCwI0qpneJHCrcE7VaHTccdx8tHW1UdO0jxqG+j9VeEP4/NPxyqP+gw/ym2qj71i8OKLL/If/sN/4Nq1axweHvKbv/mbfOlLX+L111/n4OAAgKWlpXtes7S0xObmJgAHBwfouk6r1XrXNcevPzg4oN/vv+tv9/v9k2sehCRJSJLk5N+e5wGQZdkJi85HxfF9Htf93gupKLg58LF0BZFlJ+02Q69q7zj+mQS0LQXK/H3FPFxNYpbluKbyrvdw/31PP8csTGkeOYC2Vb1WlaFlKUhljqtJtEyZkS8I45w3dqZc7FWZmEUoONQkDK3K0Fzq25AXJFnOd++O+MLlLroqMZynLNdMdEViEWUYusLmaEGvbrA/q0qghiozDGJmUc7WaEHL1XlzJ6RuqxzMQlbqFt+8OSbLc8IkZ8k16NU1lhsWsirxyt0ZkgRQEmcZT/VdLjZtRFnwv2+MuD1MWW5aXO05fHqjRZIJ4kwgFQV5KijLgmkcgYCuozNfxJTA128MudCvk+cFTyw7FDnULI00y3l6tY4XZUzDhLcPAtbbBld6LrMo4+ahxywUjP0ERZGRZZeJH6GrUNN1FKpBtaatkiQp/ZpKlEjcGXqs1C0mQURfthAi58Z4zhs7U3RN4cmlGj1Ho2nU2Z/HpHmOhMTdUYAhl7y5N61o9OKcssi5cTBndHRg0STQFIlpmvHMWv2oTUhCU2Qatk6YVIfLEhj71QEjshTg3nXxXrZ2jNW6wdY4xNYkwjhBAnQZLFViOA/uscMfFnw/fcTD/vbjwg+yv4fvj88/jT/P7/Zx4M/j+YdejK1KTLOMSz2LaSBYXXbJsuweHzH0AgbzCFtTUBSJlbrJxE+Bis5ze5xwcwHrUsndkYery7iGwoWuQ0mJo2s0TYX9WcT20McxNVxNoe2oeFFCLnK+u+VxpV+jZqoUeUFRlkhFTprljP2Ijq0jUZAIQZplSECSZdzen6NpMm1HZ62hk+UFt4cBt/c9nl6vo8kyn7/U5rWdOX1H53ARYesaqlwynEfMZwV+CptDH11T2NqZ4vkxlqEQpTlFnrM/i9hoW3RcnVGU8tZ+jFIWfP5SB02WWSQ5TVNjtIjp13UoZfZmIcMgIRVwoefwtbcHNK2qIrA5XaBIEmkuEKLACzNW6wYNx+DACzjfdXj57pREFIg8xwsT/FjQcjRuDhZV4kUuuH04J8lSihIcrfq8XLPa90/HHffHIffHDQ+yiwfFG/fjUfaR98L9scrpGOm9nmHoVdWfg2nAlb7755J8epT1+mE+k8d+MPjLf/kvn/z3c889xxe/+EUuX77M7/3e7/GFL3wBAEm6tx+tLMt3/ex+3H/Ng65/v/v883/+z/ln/+yfvevnf/RHf4RtP1xl78Pgq1/96mO934MwTyERkBSwYsOxXYoCAlGdgj+orR6/1pCr+x5TkN3/s9P3nafV61QZGvclA+7/HEQBL4+qst0tDSyler2rQpRDWsCrEsQ57PhwtQH/cwdsFfICQgG+qKTjgwzWbHg5q5h/ZBlaZsUktB9Uz1lQBZI1o3r+SQQXDHhzDpmAVMDUh8U+TJKKMm6RwtyEVQemm9C34NYcbs8gFvB/Hh7yqQ7ERfUcflYtJE/AeAF5DIUEs8EhfnHIQsBka4c/fQM6Nigl1HXQFVh14b/erD6HUVw93+4u7NrV/Q8CGATV52Zr8MeLGa4KZQmOBsjVvd7YhfN18LLq8zwIYVOFnTuw5lTf22sjSEugBHkCuzdf52INpjGME7hQqz7fQQQdA2Zy9VnU9OqzH8bVM78pVRSBrgbbr7/zvZ7+/o/taBHDbgTnHFhx4f/3h189sc33s6vTNnM82HZ8/9P2/VHs/c8T3w8fcT/CMHys9/tB9vfw/fX5p/Hn8d0+Tnzcz396zUL13wrwego9E/7XjXfWfV6AIkOYwnZY/b5tVr4pKyDMKr8mF7DswJuvvkpNgUUOqQb7b1f+qm/BWzMYhpWPAxhsw/BWte98ewBCwHi38jOuCpMYHB1GO5WPLPLK5ysyDOLq32kOlJXP75iwdxe6Nrw1haKAzU3omtWzrriVv5su4DUfdBXCBKKy8pHS9l3CHBIf8hCSRGArCW/emCIKaOlQSjAJYZJWLR9mNKJvwyyBO/Pqcxr40DfBSKrPpqWGjPemHB75fyRwFMip9rSOUe2fYxMaWvWMt96AWQw7IWya1Wcbier6ulF9fjvKO765bcIbf/anj+yD3ytueJiNPMznP4494EE2/173FQXsh9Vn9T31we/h+4X3Wq8fxud/7KTejuPw3HPPcePGDf7qX/2rQJUBWllZOblmMBicZJWWl5dJ05TpdHpPFmkwGPClL33p5JrDw8N3/a3hcPiu7NRp/JN/8k/4h//wH5782/M8NjY2+IVf+AXq9fpHep/HyLKMr371q/z8z/88mqY9lns+DO934v4w9znmLT7O9PZcoypJ5kU1OPqAk/v9z5GKgpEX8Gdf/xN+9ud+liAt73nGnwhTXt6asd4y6dZM9mcx3ZrOK1sz0qLkat/h7ijkwItYrlt88UqXeVjxLnuhQFUkpkGVrc5EwXc3JwSbM+ZxglW3+PS5JtcHAaoMHVvD0FTOdWyirKDj6Kw2bV7ZmfHdzQl3RyEXe3bVD5+VzCLBJUdlreMw9xM+f6mDKAr23x6xYsXsexHX+nVsR2O9ZuCFGT++UuPOJGQ4i5HmAX5UIMqCayt1GnWd9ds32ZHaXG4qSKrEas0il6vFlyFxqa+S5wInEUQHC0RR0lxrU1BST3Pq84gozbFNhTwvSbKclaaNIssoisTVJZeuo6EpVX/uziziqihJs5zLSy6uoTGPMvqXc3YnIS9ebrM1jnl+o8Faw2J/HrM7DbB0jRfONdmfxZzr2MyP2r8atoZUVtn/SZBSM1UsXWWlYZ4Mbj3IDlNR8PWbIzZSQb+mcfjmt/mxL/0EhaSgK0dzBnmBFwksXcGLMrquTq92bxl4cJS1eZj9vd/vf9Dw/fQR9+M4Y/5x4QfJ38P3x+efxp/nd/s48P16/get2dM/a9o6b+571VwaJf26xcCLaUcpF7suz683GS5iRn5KlGZMgxRJKrn+6it84fOfpVW3EAKmYczeLOFSz2GjZXNxEvDNmyO+6GrszRLars5Gy0HkBcrhgnmUcb5TUVHnJfxsy2JzFIJc8tq2x9BPWapp3Dj0adgShq6gSzJpUdK0NLK8YK1lIsqSvhZy4KdsLLksNyzSvCTPc5ZaDrKfoM0isjSnkCR2pz5J4vHpJ66gqCrG1gx7keJaMm230rxZahhsj0MMRUZaxESLiLqpsbHa5OqSy/XDBfWs5LXdOYoEjYaFWZQ8u+ry9EqDQq5UoSdHGkFRWvDG3oK1nsnz6w3WWg69ukGU5pWwaMfmGzdHbE0DnllpULN0vDgjiDJ6DZMnlutkecHLWzOW6ho3v/un/OVfrOzmdEwAD98fHjV+ud82jjslHF2hXzffZU8f5N4fxeYfVwz2YfEoz/5hfP7HfjBIkoQ333yTn/iJn+DixYssLy/z1a9+lU9/+tMApGnKH//xH/Mv/sW/AOCzn/0smqbx1a9+lV/5lV8BYH9/n9dee43f/u3fBuCLX/wi8/mcb33rW3z+858H4Jvf/Cbz+fxkM3kQDMPAMIx3/VzTtMfuBD+Oe777b4Bjvfv9fFBMophSVvCzkl7DqXr1jujVVE2jVzPf6Rm8b3BUl2X2vIjzbRfHVCuBmGmAJsnMU7g5jEhLGAYZT682SUXBMMi4utRA02TSHOqOwddvjquMv2NwrttgFucEWcGV5QZpIaFqGrNFTCHJiByurjQAmdvjAE1RKCWglDB0jTcOQ5qmzu48RBQyKw2NV7Z9vDTlQtvFMgw6NYtdL0VVFQaLjMtLLpkAJ0yYLlJe25zRdg3ePgiI85yDWUyY5Xz2QhdTk3h6ucHNUcBTy3XivKTrGOzNYs536oz9FD9M2ZqE6IrEIIIXnmzzxl6l6KlIcGu0wNE1ejUDVSl5ot/ijcMFsuwjywrbs4ifPuLrngQZXpShSRIv70yRFYU8h3mc0qtZJBkMfIFjgasqtFyTtq1TNzT2F/GJdoBr6Dy50iTOcq4t6xzMU672m5RyQlpItDSV1/YX1HSNIC1RNQ0kwe40wTU0vLhAFNV3+eMrLUqJdzaBJKfhKGiaeo9dne/XOJzHXFpyePt7YJkGwyCjV7dOhonrjsI8TCkkmVmSo6o5mlqe9KY2HInNiU+vbt1z/2P0GgoDL6aUoJSUH5p5gu+Hj3jQ3/w48YPk7+H76/O/n/f/uPFxP/+D1vTpn03DlHEoyHLQNJksB9fWqkH3lkMpKQSi5Fynxss7E2ZxUYl5RbBIwEhLKCX2vASRwyLOsQ2DkT/ns5d6xFmOa1ZMRKamoloy58uSlZpNWZbsTEMMTea1nQWCAnLIi0qx3gsELcckLwteWG9RSFXLo6LKDOYxXpxVrT1ZgGkoOJbJlaU6Ay/mrYMFXrxAVyQ0RWJjpcHdwwXnOzW2tzwUWWF7EuNngoalsd6yiIuS9ZaFpir8xOUuf3J7Qr9lU7MMNqchh4uEUZBRltWsRr9uViKXmcA2dO5OYizDJMwy5kHKrWHIetPCz0psW2USZpSqwmrLYXceIUROr25RSgpPrrVICjAMjSdXW3zrzoioKHjzwOeJ5RalJHFlucFkUdGVJoVUDXvHglGQMgwyuq5JWkjcnUZc7ddP/HMpFZRSzjTOaVrKe6rb9xrKSQwyDVPqjkGYCnoNB02V7/m9psr3xDRL1qPZ8Yex+ccVg31UvNezf5h1/NgPBr/xG7/BX/krf4Vz584xGAz4zd/8TTzP42/+zb+JJEn8+q//Or/1W7/F1atXuXr1Kr/1W7+Fbdv86q/+KgCNRoO/9bf+Fv/oH/0jOp0O7Xab3/iN3+C55547Ya146qmn+Et/6S/xt//23+bf/Jt/A8Df+Tt/h1/6pV86Y6j4EDjN4nI8uJOK4mRQ6EGKhccDP28feJiaws2Bx0rTJjt6nRdUfb1pnnPgpay3qwPHyK8k7bO8YMW0yfKCOyOfMBeIuORc16l4hUVZCZvlRTXEWkLD1hktEhZJRlsYfHdnQlmWHHgxl/s1FKlEVxVe2GjztZsjTE0hzgQDPyWIE4I4JxUlV5dq2KbKzz3V49u3JvRaJs+ttRh4MYs0QxQlpSwxizJabs7dcUAiClYbFi1H41PrLcJU8GTf5e44RFYk9mcRCkdcyEXJ9iJAKkGIgkYJUZZX/NxhwtsHHpIkoUpVhv+Ll/pkFFzt2ZhKh1mU8+mNOsgKz2+0ybKC7VlEKXKmccI0FJR5Sc3RKEvIpQKRlkRpzrAsabkGeV4SiZyVmsX1wZyeY2LoMpoiI/KckZ9wbbnOnhdSN3W6rkBXFGaLiN1RxMEsouGqxElJr24wXMQEsWBvEbHRsNkaByiqTCYKRn7MoVcxBb1wrn1iI46usj8PWaqZbI1DEgFb4xBFVZkdUdDO4xRLU+nWzJMSN3CPEuajsGppqnzPa37UlCh/UHHm78/wKLh/PT5oTZ/+GRK0XY0pJSIvuTPyMVUZZImmqR+RESTsjiP8OOP6oYcmV601sch4bS9hEVYVyJySlZbN5sSnWzPwI4Frq4wWCXXLYBwlrDcc6qZBScn+IiLIcvbnIY5hMA0qAUdbhwKdlqnhC0HXMVhumLiWzoWOg6bJ3DF9VFli6MUoEhXddNOi1zCpGRp3xgHbk/ho0FXlla0Jy3WLpBCsujBYxLx94LE79VltudRTHVNT2JqEXOi67HgJL2w0KICpn5LkJWM/QaYgLsBWKhrptZZFKZUUomSlZXF76CMDm5MARVEIRcFPXe3xve0JfpYjMrh+OMdUVYI0oyWMk73XTzKEqPQKapbKK9sxNVvntb0ZL17qMvKrGbVFWvn3Tt1inqSVbo6hgcQ9FOUnjEWiYOgnSFLJPErfU93+dAzyINah+2OUB7HcneHR8dgPBjs7O/yNv/E3GI1G9Ho9vvCFL/CNb3yD8+fPA/CP//E/Jooi/t7f+3tMp1NefPFF/uiP/oharXZyj3/1r/4VqqryK7/yK0RRxM/+7M/y7//9v0dRlJNr/tN/+k/8g3/wD07YLH75l3+Z3/3d333cb+cTgQcF/g+TLz/G8cJ7drXJnheiyTJ7s4impWEbKn1H46YOqw2LlZaLJlcT/46uVlkhx2Tox6zWbdabNiIvcQ2losWUQFDStg2u73u8cL6NY6j0bZMwrdpO7o59ujWdr98cYmvVwOsTSzVKWWIeZryw0eS13RmiyNmo2yiay5v7HrJU8p3tMU8tNRC5xFNrDbK84KWtGZe7Dj1XR5Wq3tBUlEyDlDgWiLJA0yontD+LKtGXRUQY5ezNIhqujoKEbagMgxhFkpmFCat1m5mAS4qCKHL8SJBkOUleYCgSn2k2uDX26TsG29OIVs3k0+cckCWWaiY3Dj2EKDE1lVf2PTqOQSqgYWn4UYqhy9RNnTgWHPgxDUMjEwVBIlAVyBSZS12XzUnAk406b+17rDdNlhsWg0XMetMmTAUXei6jRUyUF3hJyqEf4c5VzrVttichTUtjKwqhhKQQlHIlNLc/D4mzHC9Mudh17rGRIK0YhV4bzOg7OkkBDUslEJUi9Wk6037tXirD0079UZz8gyhKTx8UzvDx4Mzfn+FRcP96fBg98T0/O+L9H86r4HHkp9h2tX9osszO1Kdl6oyChCwvyfOq/30W5dwc+KQix1QVnt1oIvJKi8WPc3RVYmcSoqkVU89SzcUyq6rz9X0PW1fYHgcYmkzLhqW6RZTkFHqJY0LbNUlEiSYV3B6HXO0rjP0qYVWzNJZrFpau0KuZ3Bwt2J5GuIbOLKlYkG4deiiyztCL0VWF3WnAcsPEzyEvSiZhQlGWxIlAV2QGs5hZlHB936NbMzBVhbaj03YNwkywSFJcQ6OmyfTqJr2GSSpyDEVlpW1yd+CjyNXn+bkLLW4OA750sVmJtpkq0yhnb+rTsZvUDJV+w0RVJFJRcH3fo20bCCqfXTd1nliqocgKl7ouNwYeq3UbR5Wo6XCuY5MWEld6dWZuCmXFVNg/1XVwTE3btDR6rgESNI8OhI8SyL9fbPKo15zh4XjsB4M/+IM/eM/fS5LEl7/8Zb785S8/9BrTNPmd3/kdfud3fueh17TbbX7/93//wz7mGe7DB8mwvos32NXZmYaEmUA7WpDHk/5rLZtSqsp8qXhHrObGwGMeZkz8GRe7Lk+vNoB3FHGbls637oxQZYnJIjl5pvNtl6/fGjL2I8pCom7qLOKU5ZZdbRBFSWwKTF1FViCICvb9BMeomHi+fXfM7izmcBaRFdCpGUglrDVMDv2IVdfGUhTmicDRZOZhziRIMFGZ+BkaEreHC3bHEcgwCzPSTJBJBW1DZ5oLVpoOYSZYbdjUbQ03hjARSLJEt2YwCaq2pLqu8Sc3R3z2fJs/3pvjBSl1u2rNeXa5yev7MyaLFD/NqRsqbUfjjb05K3WLMBNc7rkkJXQtHa1mYBoqaZ7z5EqNWBTUDJ3lpsloEbPadNiehtiazN1xyLPrDTRVJUhzmpZOeJSt22iVlEWOoVgoMqiqzIprVmxRPZc8L7jSr9Orm2xOfIIkJ8py2jUT21BPbMPR1YpaVBQY6hGLiF1xkadeQtN6x87WmvaJIvbIrwTqTjv1Y27q0zZ3+u8cbyhnGaPvP878/RkeBfevx+M1faxtc6yUfhrzOKVuVhSl/YbJ1E9OqK4HixhLUzF0lefaNjVLJYoEN6ZAWc2SqarMU6t1Vo4y2FW/KdwcBuiKhKrCRruGpStc6dW5OfC43Hc59CLO912yoxkty1DZHPrszQtajs4iqg4Atw4jluomSS4YeiVvHs7pOAZRP2epbvLy9pS39xZEacHuLKTrGry1P6dl6viiZKVhkRUFtqHg2hqeBJSwXLPYL0qe3WiTiBwvTRgHMZEQzIKEpmOwMwlQVZmariIjYesql/oObaeqvHollGXBa7tTvKCqfjyz3uTOKKBh6hwuMhyrYHcaEqYFpqpx4MUISj7X7tK0dV7amdC0NJAlPn+hi67K3Ig8nlxroskyt0c+iiwBIdd6Dg0d5mGKqmrodiWgdhon/lkCSSrR1HuvcY9akT+MjtIxzirFjwdnn9wZgHdzAX+Qa495fLuOeeLgU1EwjmF3Gp5w2p9Wvuw5JrcGPoYqV7zUWXUP56jcqKsy6037RNDmWOZ86MVMw5QoKcnLgq6jc6lbo2cbRCLHkBX6DYuLPZemaaAqCkGaokgSKBKrbQtFgs1RiFwWpFnJpzda+GmOjMRbhx63xz6LQODFgo6rn2xmNUuloCQXFduRo8g8tVzjXMfFVmXCTDAIEuI0xzRkLEPnUt8lLysmi8ZRMHypX+N8p0Z2NFR343CBo6tIsoLIS/KiZHvuoyBxdxIgSaDpEi9tTsnzkusHC/w4r1qKyoK8LMmKguWayS8+s8pG20WTJL67OeLV7Sn2kWiNpchkecn5TuWMG4ZOXhQczCPCOK8E1oKM8KhC8eRKE1evqOkatoYQJVeW66y1qxKupsjMgoS1hs0TS7WTrFCWF7y2M+Nbt0fkRcla22KlYaLK1QHpuF3gNN/0w9S3U1GwMw15Y292j8T9+6mpvheX9Y8y//QZzvDniYetrQetx2Ntm5Ff+fSBF7M1Cnhjf8bAi7GPVJBXmjbLDQtVkWnZBv/r7SGOodI0dSRK6qbG8xttdE0hTsExVFqOUYk3FlWrjRdm+GmGrSm0LRlZkqhplV+0dZX/9fYhr+7MEDlc6Ln8+KUenz3fQVVlMlESZwVRmnNz3ydOC17d9lBkuDsKqOkq0zRFCNiZBizCjN1piCkrKDIYmoyjqdwc+LiGjqYpnO9alYaNKvPkch1DktBVWG7a2IZGv2ExXiT4caXebugKHdviYtfF0itleltTibOcmqWhKjKGqhIkOVuTgCDOyLISU9M48CL6dYt5lGHrKlmes9G1WapZuKZG3zVYa7rMohQ/zhn7CXteCAVsTsOTdk6oEnNhKggTQVmU7E7DipxEFAQCRn71nR4nAncmITvT8B57ONY6alr6u2zloyrVnyndPx587MPHZ/jBxoMyr+93/XHP/+m2jWMcn9ZnYcoihf15hKpmaKrM+ZZLWhS0bJ0bR9mZnWnIetthXqZ0tSoL3bCqTNLNwwWDRVKJuRwFjfMoZaVuciP2aBgmpl45xz++MWTJNZjJGU+u1cmygqWGydV+DY4C0iv9Onstm7GX0qtbZELw9EqNKM2ZR4I7A4/lpolUygQiRdcMbgw9RF5QtzSWaiaTMKFp6/z/2fuzJknuM90T+/m+xx65b7WhCgWAJACS3X26Wz0622jM5kIXkj7a+QaS6WbMZCON2UgzZ+vuw60JAiSAAmqv3DNjDw/f/e/uuvDMRFaxCiiAbDYB5HODQmVkRFTEf3mX530e21R5a6WBa6l8tDflZJYwChNWHZuDacBq08I2VHqOzmfUA3SaIrPWMtifJJRk7HRbHM4jfrrTwdRlLD2ASiLOShKtwnUU3ttscuLnfPh4yjBOMBWFXsPEs2QcQ8bUVY79hLKq6HpffHePRgFPhiGzqEAUFZamMk0FcgUni4Qkr5UnVEVibxixN4240fUI8pzhLCZJBbM4rWXtVJVxkJGVBZyAJtec/oNpRIUEMhcuxOeVwUmYcOonmKrMTt/Fj2Ke+fBXaj1wftl+/nzNvMx9+3wuJStqA7vzCtPruKm+Clc0oytc4Z8HX2dvtW2dXJQg1X8eLBL8VGCVMiMSmoZO09JxNJX7pz6LOOPUTzF1hYNpxPUll9N5yr3DOX6SEyU5aQUnfsrpPAFZJssLigosTeXd7TZBkhNkFeMwpWM3+Px0jqnKPBlGJHk9X/avOn3ysj7zP9ib44cCVZfRZJmlRj2su9W1uH+0YBKn/H9/d8xf3+5zfdlGRiISAkdXmCQZPdek7WjIqsRKw+B0kbLVdUGGvWHIctNEFBWaqlCW0LQ13t/q8E/PxpSULKIMV9eAiq2OS79RG7L9bnfCKEpZaVos8gKlrDiexiBVGKrC7ijkh1tdsjhjs+fQdXT+zVsrzIIMS1cxdJn/9XdHpHlJmBasdSoMVUaVJCq5wtZVTv2YMBP8bn/KX9zoX3xvTUvneBbVTshaTQWdRRKOCj1Xp0IhygTHs4hcVGha7XHz4uzXy9bKeRfpstv918HlztRV9+Cb4+rT+o7jq6qjAz9hbxzyaOC/1gaaRhlhIng6CggTwamf1E64cXYxrDSNMmyjzjklpDp45JxzXjJY1LMFtq6w0jIpRF3xpqorEufulqKsq9iJKFhr2IwXKVEmsDWVN9eaqIoMcsVwUct53j/xWfbquYRn44DJIsNPc6jqQHToJ6w1bf7iRo+K2hre1lREUXLveIaEhCxLqKrMNBI8Hgb4cU6QCFYaOieziFmQM4tSqqpC12RUWSHLSzRd4c3VFr2Gzg83O1SSRMvREVVFXsDeOOZ0kbJISgxdpmkonM5jrnVdVEWm6RisdxziXLA/jng6CkgKQYFEmglEWZDlJQ1T4+5ag7dWOtxY9mhaOisNnVwU3Dv0+Xh/iqbK3Flpst6xkaSyltETBZNFSpyXhGlJLmrVilyUpGWBqsrMshRHV2g5OpauklUlqiKx2rXY6Tu4qsY4TOqhPF3lWs9luWHU3xnPt3HXWjZ5UbDWqgP5T498Rgl8euhfPPbhwL+4BC67H192327bOj3XZK1pPado8Yc4Gr+OE/gVrnCFr4+vu7c0VWbpTJ54yTO5vexhGwpNSycSdZV6dxLw0e6EeycLFFkmSjPalsZ2uz5/VpomsixRUdExaqfjlmugyZDkJbIkIcqSk1lM29GZxSkdR+fjoxkNQ0WRICsEbdfg3a02oiypSvj7BwNO/QxNUehZOjeXPTquwV/sdOi6Bp6lUoiKIMuZJ4I3V1v4qSBMBL85mDKYJRRViW2qrDcttroefc/kZBYRpoKtjk0qCpK8JMoFJxFAxSzJ2OpYOLrKTq9F09HZ7LjIQNexGPkJ0yQHSWKe5OiSRJgXTOOMRZSzN4lwTZ3RIqbnmdi6wo0lF1tTyYuKeZLxmydTVEVhb1x3XHeHETtdl55bDx2fzmr3ZVWSMBSJw2l95jtnxTlbU3EMnbZbn8+aKnMc1QIhtlk/Jisqzm1GHL2OBy4nA+fPpcvyRYySifIitvgmVf/LswUPBz6zMOPhwH+t7vBVJ/kLXHUMvsV4nYz4qyo4eVGyN4lYbZivXeV5cOKjyBKfHM241ncZBQlNq74Izi+F4TzEVkFVZBqWVgehRckszmt+YdNmtWUzizLuH/vcXq01xWdRxokfk+UlSw0bz9JZ79g8Hiz48GCCrijcXWuw6tkkecB6y2a0qCvTbdumYRistk0+O5kjiookK/g4nqIg41oRb6+3WKQ5aSYY+Am3ew1MU+F612G0SHl/q8sHe2OkCsJEcJIJ2rrOPCloWAbTJEQUBU1LZxhk2HqdvEjAzeW6EvTbZzN0SWKeCB6fLpinsAw8HfhEuWCnbXO6yGiZBofzmKKClYaFp9WVHCnMmcWCJ8OQXBQ0bZN+ox7Kfme7RVGUfH48o+0ZmJpC19ExVAVTLZjHtZKTKkn0bQNflYnzkl7LwDQV4lQgIRGmguG8/r5WGhaqLLPasJHlWvLVMxV0WaHbMOi7JrM4Q6okBn7CNEyZRbWe+MvW2uCM7nWj36hLDxKsNEx+LUCRK/KivOgAIfF7gcSL8wQvclW/zvp+GS4rb/0hfNYrXOEKv38Pve4+fHHv6qrMRsdm6ewu6rtnimS2jmHIpL5AcQ1sQyfOSrKyVkF7Ogw49iOapo04hvd32uyOUyZJSltXOV4kyIpMVVXcP/JpOwYqEv/9O6tMgzqY7roGChJ5UbLdcfnP90+oAE2S8CyFtm2wOwkZL1L2xhHXejZ3VhukosTVFWxNrqU805IgzlnkAlWSQKro2wa6pvJ0NGcW5/hxga4LTFVissiQZZkkL7BV+F8+OqbrGsiSRNfTmYeCn1zv8uQ0oBR1EQygoesc+hGmIzNPM+axwNIUVjyLG02HUZRwY8llGuRMY8HnRwsmUc7QT6jKCkWRsXWZG0tNgiRnc8lGUxU8U+XhScAkTPjhepvbKzqWVs+u/erZiGsdF0tT2R0FdByd1ZbFRtvmt7tjsqJWJbqxXM8Lts7u/Yb5hfrU5bN9GtVKREd+dKFINAoSFFlisEi41ne/ZPV89dpSZfkitnid+2EWZVSy8rXuku9qV+IqMfgW43WCoq8awtRUma2u9dpVHl2VeXerw+4kYK1hk5Ulaw2bIz9iu+NeSM/Zhso4BUtXyMuyVhsC+u4XMmits5ZkzzNYRDlxLoiSgt1JLfn2450efa+mF2VlgakpREktZUcFrqERZ4J/++YaaV7RMFV6TZ1JlJEXFZokYRky67rNRwcTeqXBo5MFeVlyNEuQJPjZ4wF/c3uJvKz4i2tdkOAHm22aps7+OOKD/Ql7cUCnMLi93OQH601cU+VgGrHTtvjsZME8EaRlwWcnC4qiYBSmuJpGV6uToq5Tq020LIMgzPk8WSADB0nAWtNibxpTVRVrTQsJmawCrYKTSYyiy0hVSsOug/8PnkzIKzBkmUmc0XEMqOoWrqxINK1ahm8apZwGMZqioKkSby5/oR51MIuAikGQ1JdhVbLRdGi7ddLXc0y2ui4bbfuisq9KMqoq0W8Y+LHgV09GOPoKbbdeM5cpZkiw3rE5mNQHfsvSud53udkCXVGZJxk3+41X6lZfDi6+6uD9Q4aMX7Z/vi0H/bflfX5XcPV513jZ5/BNqXkv27svPr9rqgSJYL1l0zVNJKlEVhTajl4XIeYJH+5OaJkm4zCmAGxd5c6awWeHc+ZpRtsyOA1iokQgSRItW2O756ApMj+51uOzkxlPxwHDKCNOC478iLap83jo03ctlhsWQSw4nsUcTBM0ue60a6rKWsfGlGUOJjFBLpDKCj8R9F2DUZBiGyqLVDCZhsyiHD/OyPKKRSwxXWSkZUWQJNxdb3C8DzeXPY5mMctNk8EsRVQVHzwa45oaszjHNmT6LYuuq/MWLh8e+Dzcm+DaOjc6Hj+92SEUBXaoMAkz9scRg1mEpcowi0mLElWSsU2FCnhnw8OPayltRZaYhSlJJmg5BqKquLvSJEoE//DwFGQZIUqWGnWhahpmOFpN+1xtmehKrUoUZoKeazKPaynqw2nEu2cy1pfP9nOFwvM44kK1kNrv5w/ZZ21bZxQk3FmrTdhe535o2TpBXl3RUrmiEn1r8TKu/8vwVZSLJc9kq+Nyd7X1e495VWvNNVXeWmvRdmslmKwsLwZKz39nHmV0DRBFxXbHRVPqVvFGx76gGc2ijLwsCWJBJdU8+FM/xjgbwj3xYx4NfCxNZbVl885Gi/eudei5JqMwYZHUtKJKgv/zu5tsd12GflLLbqaCzbbDzZUGIKFJCvuTCFmqmIQZ7260qSqYhDk/vz9ivWlx6CckaQFI3Fz2uLPq0bF0pmFKmBaczCI8R2Oz43BnpcGjYYiooKAiSnOytCTNIEoKVAWWmw6WJjEIYLlhYOgyoipJ8pyTRYImSRxMI4bziKGfsjeJOJnXFKo4r9voMrDctljydJK8QJJlqrKm+DQtjX7TRJUlXFNlyTNp2QZBktNxTLY7DnlRYGkKwyDhdB4TZ4IwFOzPI9YaNkVFPaCdZxxOI2QkhmFCy9IJEsEvn4zI8pL7J198D2EqLjpG5zgfNpsn9WURpQLPUqmqmkK21DBp6JxxgQuGfvJa6/yrhsn+2JSib8vw2rflfX5XcPV513jZ5/BNqXmvGkh+8fmHfoIoasrjcqum31DV99MvnoxQZInTRcKqZzKI4N6Rjx9nnAYJhqwwiVMMTUVVJDxT4WQWE8aCeZzz+dEcW1OxDJX1lnVBW53GGcueja5JiKrCM1VcU6XvaFiGiixJpEKgSRIdT6Pv6bi6yiwWiKLCP6uQn8wT9iYR81iwPw0JEoFtqRzPYvJK4nQeY6o6B+P6PFTlihvLbv26ZcU8SjFVleMgQqae2StEwc0lD0PTOJlF6JpEUpT8YKdJ1zNAwCLOmIY5iyyn7RikecEsEbQsnU5TR+QFTVtjERf81a0ey57J8TzBNTTeu9bh3a02Oz2X42nMo+ECGZl5kGKqNc1rGtbJ2ydnohC5KNl0wTXUi/Ww3XERZclGp2YGvBhLnPtWZGV5sQ7OY4uX+dWc43UoP7oqc2upQdPSn6Ogft31+FU4/7eez8V9V2hIVx2DbynOD05Nlb/WQs7OOP5UsHRJEeZl1bDXyYbPE5Q8L8lFrWvfMHVkwFDh5lLtiHxZiux80Dkv6k2kqDI9r/YoeGujxeEkIkoLno0CHE3FtTJ+eq3HtZ5LkAgeDXySrCDJBc/GATfVBhgqqipx4qc8Pg3ot4xazWGh4Fq1XGZWVjw6DVlq6vhpwV9e73AaZDQNlWeTAFfXuH8aMI8SrvU9+q5B29FZazqIokSSJU6nCSM/pSwqHg4CWrZO09TQZZleQ72QDI0ywYf7Y9JMkJVwNE/ouQY3+w7H84TlpkWUCCpgFqccTkMsTaFlayR5Xc0xZIn3ttt4lsaj0YKbqx69qFaWaBoqh/OYWZBxY8llp+cR5oIih5IKRQVH1zA1lWeTkGM/xtE1HocBkyglTSs+Opjw7kaLRV7ww80OUSr43w+OaVkmnx/PURWJqqr4aH/Kjb7LIspxDJW/vN7j/qnP9Z7Lp0cztjvuRYXGPqsCDfyEOC9YxIKfXusBFaEArygIEsHczKgkLuRJX7WGX6cj8E2ruS+jPXxbZE6/Le/zu4Krz7vGyz6Hb6oZ/7J9++Lzn3cs98YRfdfg44MZiShQqQdaW05twvjDzTY/fzwgFBBkOb98MiZK6zviJzs9nowWCEXi46MZPddidxrSTHQqKhxNw9IVoljgWrX5Ys8zEFXJ7eUGUV7waFB3efstg/e3unx+4pNkAklWyMqK7b7H7TWZnz0acjBNWGlYaKoEUkKSFRzPEuI0o9+wyUXBraUGwyDlBxtt5knOYB4zTuHZNEKRFZK0oGHq7HRdcuCG02TgR8iVxEf7Pqd+jqlJeLaCn2psdxwOJjHjION4GqMoMpYqs9NxGEcZDVPj6SikYah4hsVJljA9WrDWttgdRKgqqDIEqWCz67Detnk2DPjoYFI/ly5zp9Wg4Wi1zOhZR3i5WQuDtBsG86z+vhxLu1gP54IS5yyBc3laqrpCPzv72dcZNH7duORld8LLxFakr71yv8D52j+9NCv3XegcXHUMvqX4plWacx7fuaTY+d+9rBr24mu8LFM//51ICGZn/PY4F/Q9k6bOSxONyyoyPaceOFtv2aw1bE7nCW+ttVjvWjiayiCIUSWpphOJklmUMQlTJsGZQoWq4MdZLaGWCYI4I0hzBrOESVqbzjRNHV2TUID9WcjTUUTb0nBMjburTbqugSYrPDhe8NnRlEVS8PnJnHsnPuttl37T4N2tLrIEnx7WkqGPh0HtkjkLWWoZvLHm8f5Orf+ciJoX6+gabUunpcOya2DqGqfznJvLHu9tdXh7u42hqRiqTMsxcUyFN9c9/u3dZa71bJY7JqMg43SRkGUVAz/jzkqTf/PmCoKK3XHIaFGrdERpwcBPeDj0eTwI2B+GzNIUR1M4mUb88vGQ3+6OubPaYNmzqKhYb9s8HEVstB1sXWUQJBSiYjCPeDLy0WSZWZSz3bYRVUUlVQwXKVlR8hfXe3x6OOe3+1M+P5oDtVqFJss0bZ0KiVQUuKZ2IXUH0HYMlloG222Xw2mEKsvPyd5eHkI7PesqXK7ivGoN/rGquX9IB+JPiW/L+/yu4OrzrvHH/Bwu79vL+/1cmeZgGnE4ic5mujQ8W6Pn1tTJrCwI0pwHJwG2obA/jTAUGVOBaZAjKzAJU/K8Ym8SsurZHM8TmqYBFLy11mQe5Xx8OOc3uxMUSSKnYncUcDiNeDJYsDeKWCSCOC/IRcWTUUheVEhI/B/fXGG75zGLMvxIkKQFQVrg6jqrTZO7qy4/WG/z5rqHYyoYhoKtaVRVxd/d7NN2de6suiw3LLK8YMnTaSjQNAwcVcUzNeKioOUY/GijxXLb4PZaAz8VxFnG06HPw4FP37b48VYPz9I5nUZ8djhnfxYyCc48IGS41vc4nMYgScSiIBMFaVZTpmZhyixNUCWJkZ8yT1NGi5SBn/BsEpCKEk2WuLXS4Ga/ngN0NBVbV3l3q4OtqTQtnXmUIcqaBfCy9bLkmWhKLbN6Hn+EWe17dL4WXsSrOgOvE/u86k74Kpnrb4rvmqDF9/uU+xbj6x7Ql6v1Pdesq+GXnGVfZ1F/WRt5u+PSMrWLP7/4voJEcDyPyPPyoiqUiVqN4bxzsTsJiLKCo3nE3dUWW32H28stxmF6EUDmRUmclUQi52bfoeFo9DyT0SJlNK8NzlZbBroqs4hzlj2TvCrxTI3HowVZVrLkmXiWRlVJeIbGds/F0GSarkrXNQjzAkVSGAcJVVXyr2728RyFtqWz3HT4+HDOds9h5KdkZcksSFGR+PRwyn+6d0qcFuiKzPUlh9trHks2tD2do1lIkgtO5il5VbLTcug1dG4vN2g7Ko6h4oe1jOhO1+ZkmvLZsc8syJnHKZ4u453RsPKyVhtyTQVdktkfh3zwdMxgkZIWgnEsMGSlVq6Icg6nKSd+yi+fjjE0hXc325SVxI2ew8E05NkwYLRIWGQCVZFIz1yfV1oWDVvnjeW6LTsJvxgwPg4i9oYhgyCuK0HUHaz1ls0bSx7X+i59x8DRVQZ+gqPCVsfm7mqL7KzFLMryog078BPCVPyeWtHlNfxw4D/nZ/B11u8VrnCFPx9c3rcDP+FoFl8IFxzPYu4dzHk49Gk7Fm+uN/nJdo+lpslSw+DOWov9acTeOOSjvSlVWWFqCmsOtB2NRVQgSXDsx8yTjPsDn/WmiabArX6TRVxwOA3YHURMwpQgrumRuYA4F4zDmvrys8cD5BI0RWK5ZVIWMI1qg0bPUPF0mVwIdEXi86M5DwY+VBWuaSBJ4IcFjqHSdVTeWG2x2bNR1FowYp7kfHI4pSghzAs8A97abHBrxWOtbaJUFR/sTfhwb4JIC2ZBhihLorRAlBWaVPs1bPUtVj2DrKioSmiaOrauoBkSN5ccyrJEkmAeJXiGykrLZBHnlGVFlFdstBxQ6tkLP8opilpNw1QVLFXiRt/lBxttolxwOq9N5s5jj3mSXQTuqlyf/58ezQgS8dx3fR6vtM5ESlqmRtvWv/Ts/kMKPq963svxyvnPM1FedDu+Kb5rhYPvxr/iCl+Jy9X6jbbNxplJFfz+oj5PIl4Mzl622c5/1zVVbLNOOi5XiM+xOwmI0oKn44DBok5Q/DhjHuXcO5qRiRL77O+is1mFnmtiaQpNW+PTwxn6mX6+ZShsdz26nsHd1RYtS2capezNIhxTw9BU+g0Dz6wNVJqWThgX9B2bpCjpeho7XZcwzfjf7h3z80cDGqZK2zVomDpvLDmIoiAVJU27Dlo7lk7H05lHKX1XJ04F13oOQVKyNw55MAz43ZFPmhWkZUmvYbDimSxiQS4gSkStNiFLKJKEejb0e2eliSJLqIrM40HAwSziwemCtmPhGAq6JhPmgo2uS3x2cM2TjI2mU0utlhWfHfsEIqfpGGiKRN81eHezSUltZvbmapP1pslGy8bRJcZBgqgq/vpWj7QoCZKCnz0Z8dmBT1ZULNIcRZLYnwX8r7895MloXs8N5AJbVZgn9VrqOQYdV6eqajWP87Whq/X3RCUxTzKGfsLRPCYUdfv4vJVr6yq3lhpf0MokvlStaBpl2Lpat65fsga/K4fyFa7wfcBz+/bMDffc00DTJCqpnmezdJmmqfN4tGCyyHCMWmJ6vVUH+poic7qIsQyZkwj+y+cjRkHKPM4ZzlP+6dGYqqopq3dWW6iKTJLnLDdsVtoGWx2La12b9YaFXEkYusyd1QaKAo5m8GgUIIoKVZGxdIXemSAGQCxKep5FVpbkRUHD0PAsDV2V2ZvW5/mzYUi3YTGLE9YaFi1Xo6RCRkaVZGIh6Lu16tzeMGTJM1jtWKRFQVVUPBgu2J/GPBr5JEXFetNis+2SlwWTIEGTVNKiRFFllpoGXc/EUhVms4SfP5mSnkl8m5qCLEk4hspSwyLOSgxZIhEF7250aHsGm20X06wN2U78mI5joCkyYSIY+nVHuWl/MX9WlfWZ3bR1RAkf7c2YR/nF5/MizgeTbVNFP6NBv+rsflVwf1n97lW8/lc97+V45fzns1d0O77PuJox+JbgqzhzL+NXX/7Z1+HInm+8F4Ozr+KSPmcukucXWbim1f4EHwYTVEni/smC28sePc/kwamPqsgX3gddz4BK4sO9CW1b58m4vgxWmxa7k4CeZ7LRtJlEGVFaJxBhJmg7Ol1HY5EUbHdq+U1T0+jYOp8dzZFliaajskhAlRTuH/v844MRiyRjf6yx0qy1oqOiYBRlGKpC09BJ84plz+DxMKBtGSw1LCZhynvbHrvjkMZcIchL4nFIy9ZwmzZdV8MzdEZhyjwWzDIQs4S8gtWGgaHVutMdx+A0TQgzQVpWbLUsNFXh5rKDpcv8eLvNx/szNnsWmqSiIjEMElqFzmCekIiCQZAhlbDWadG1TKZpRlFWfHa8YKNVD5T5ac7bW63agdMwkCpqNaEKLFXmOBVswkKLAABp6UlEQVToukRPM8hFxXLDYJHmPDsNGJ1VqXruBNfUiIWgo9nMk4y7qy2WGzUtCbg4rJfOpFWnYUaSCsJihqMoZAIeDQI82wB4ztTmfN2cuydfNs87X9vnf7fesq+SgCtc4TuEc6qJc+Z8frPfoOdknBPAj6cxv92fcH8Q8N5Gi75XYhoqP9joEmYZuqzw4CTg4QzkPCTMcu6utjiVY1qmTpYXuLrJds/h1E+oShlNTXlno4WrKezOEpqmyjBKsXwFCfj3d9d4MgxoGSoPhwFhJtjpejwaLFj2agnnjm3QMjRcU2Wn5zIMEt5abdN1DTZymyAu8EyFvVGEJMs8G4Z4poZC7bvQdDTmac7ITxgm0EoE4zBFVCV/c2uJnz0a4aKwOwmBClWGnSWPTBSIwiDICp6OF6w0LABmYYqp6Qjg14dz8rIgTR0sQ0MCoixHAhxN5nrfpd3Sa2+HKMNUZdKsxNbqOTEFiU+PZlSlxP4koucamLrEesvm4aCWLJ9GGe9udXh8Omeewk1NoiirC28b+OZxyKvijcvmaH8MXn/L1lHl+r8vvt8vu2e+6nHfZiWzq8TgW4LLbbUXtYBftTle/Nnrbp5XDSN/FS7rwz8aBERZHQi+uV4fnO9udfjZowGiqLXs+55Jx9FpGvpzB8X5EOsnBzMSUeJYCpZRV6yPpzGaKuHHOdM4Qaokuo2ad3p3rcWnxzOCrGSzZaCqCrMo49dPR5SlRJwXrHgG//RshK4pOLpKVlSstHTurDTIhcRhnOAnKU1TY6VpcXvN49Hpgut9h1iUrCkGhgZJWbHStvjt/gyKEsPUcQ2Vlq2jazIH05AoL6Eq8HOQslpu1U8KMlHhmDmyUhvdRFnBNMr44UaT670GfpIiAbMkxzBVDFWjYWk0XIN5kPKbvQmZKBkuUsqyrhR1LBNVkZilKSfzlKat8usnE3JKNEUhFSV3VxrM0hxX07BUlU8OZyiSxLW+Q8cxqaSKrm1wOIs48iO6DYMcuLbs0rF1Bn6KayvEmcDS6+/jzkqTWZQxChNyUVfVzk2LRs2EhycJoqxIKUnLejD6k4MZf3tr6bm1czmpOF+nLw50fdMhxytc4Qp/3nhxiDPMBC1bZ3cS0DJ1DqYhg3lCQ1cYhhnbomIW5hRVyZurLR4NfZqWiiaBqWu8td7m7fUG70gtPFNjcWa49enRnJ6j82Qc0LbqivSj0wVZVfH5UcLNJZdpVA8F3z9ZcHetyf3TBW1bYxJkfHY45fqKx+E0YqvtsN516LoaUVIwi3KWnJq6GmWCJCv4wUabvCx4fBJw4CfcXvLYPRPXCBPBPBYYikIQZyQZxKJiOE8ppJJFJPjBRptPj6YYkkSQF6iKhKEouKaGqSskWUGvYdC2NKZRSiFgkMX0HZO1hsFgkVKWFUGSU5awOwrRVZWWo2EaCk1NI01KPvPnzKLaq+bZKMC1arEQzzIZBglvrjWRJIl3tzroqsxaw2YSzHh7rUV4Rj9d5KArCm9vdi7ERqZRRpQIZklOLmr66B96hl+OM/4YggC6Kj83D/m6EqQvPu7FRODbLGV6lRh8S/CyZODyhP/LNsc3VdL4QwOwgZ8QZjnDBPw45d7RjLtrrbNWXR08Qk0vslSVSNSV/2FQy5xud1yysmSzY/OPD4f8cLPNtZ7Lg9MFUlWw03cQZUSaVQwWMZUEVBK74whDVghTwShMWW5Y3D9dgCSRipLNtsPRPGK97VBKBX3P5I0VlyQvMRWFX++N2R0GmKrERtshzAX/028O2GxbBHGOa9UdCE1WmS4S4qzE1GVmeUHfrXWcw7yopeiKEl2RyYqSoqJWv9DrVu4izpmHKZttE8tR2FNDLE3jdJ4SJBOysmLgp6BImLLEJMq5u9ZkfxahyhINU+OT/RklUt0Z0RWOFxGrnoUqK2y0VUaRIKfiwcmCJc/if3h7hbyqSPKSvEwxFwo91+BwEmOqMgdZwJ3VFrahstOvTWyudzxEURILUSsJJSmi1Fhds2ta0Zmyg6bK9QBanNFzjIuD8e5qi6ahM4oSWoZCuQ+zMKfnGbVWuPtFV2AUJFSVhHZp7V0pwVzhCt8vXN7zDwc+UVrw+HTCctNClqEs4afXegzDhEUqs+JpBKmgZ5n8Zm/EVgNu3uxxZ62FZ6tYal39nkQZVSnh6jK/PZjRsHU8S6Pt6OxOYn5+/5TtnoumKPzljR6PBwHrLZPPjuaouoSqKCBLmKrC01HE3RUPVZaQpIq1hs2TJECUJfNY4Fg6T04DdmchuhzSdUzissQzVRQZrvdtPtn3GYcZmiyRCYFryVCBXJXM05y9SUjPMjiYR7QsHSFgkuXYqsr9kzlvbrRoGDquWfF0GPBJUtB2dfxMMAjq7sff3VniZJ6CXHE6SznxI3TNYBELXF3DTzIMXWF/GhKLknEYc6PrkYuKRVyw0bbJqwpJqlhpWvRdk0cDH9uo5aiXPPPCv2g/K4D6ngszga7K3DuakRcV5+Y2ozC5mCf8Y+Cfq1D0uvfO+WzMuarSi4nAt/n+ukoMviXQXxIwnct9vkqy9J9r43xli0yqKweOCnFeYRTVxfutkOk4GrkoOZyEUMls9x0+3JsQZwVxKngyDHh3s8M0zOg6BrMwgx54pkoi6uHclm2wP444CSqoJCxDYRQlJEnJ2xtNGqbGx4dzNpsmEhCmgnEY8/Z688xV0uVHGx3CXDBaJAznKYejiEmccqPnEqY59w5mKLLMR4uYuystqhJcXTnzEHDZn8bossp2R6dpqcxjQXSmihSmAlmW6DoG0wjsTKA0LDJRkFUVTUdHQeE4quVdJamuupSlxDRIWXJ0ihKyqmLd0vjg2YRSqrBkBc9WeXurxefHc3Y6HoYh07MN9uchhYCVvs2N5Qb/z18siIuCtChwbQ1bU/n4cErHMug4OoNFQlGVPBhGmJqMrga8t9Mhy0vGYYIkSaRZQSwKXK2EM8qQpsrcaje+oI2JklGQcLPfeE5/Wldl1js2miYj8hyA5YbOSZDzZqN58bi2rb/Uk+OPKYN4hStc4V8eX7U3L+/57Y7L7iTg/e0Onx7P6VgGGz2HfsOkaeuAT9PU6XsmP3s0QJZgloFlqPziyYj/7vYyx9OA/UnIJMywNYXWikfP1ng6CXlvq03T0hkFMY5dzy2stkw0WaZlaxxNYyQVpELCNiTe22zy20Off3WtRSHVppUn85iGrqGooCkKkzDl5pJHmuVMg9q9eRSmdEyNSZxjmzpCSGy0LQ7mMaN5zHLL4dnQR0jgZzlxURIkOaOgdh/WNRVFldlo2oiyYrvvYikKmi4RJQV+lDEIMqZxQpoX5EIwWaSAxL9/Z5XxIuEf4yHrTYu8kFhqGdiGjGe73D+aI3oOYZpj6xp9zySnQkMmEbWbsn5GgfrkcIaCdOZbpFIUEopSYasqTas+9yWkL8RFioogzbnWc4myupD0VdXzP4ez+3XvnfNZupcxOb7O8/w54urW/BbiRQmwf46M9MtMRL5KLWDJM1ltmqy78Mayy1rTqgeJVJnlpsFqyyYSgrwAURY8OQ0Y+jFJJsjKAlWSeDpesN62KaoK11A4mcckomC9ZaOpMppS281HqQCplg89nsYgQcPSyMuSjqOjagpvbzTroV9ZJhd15V4UFZ8ezfgvn58SxDmaKtF2dTY6DqoiczxJSEpBVpT85FoPQ5dp2frZABeMg4yGrdKw60PbNjQkWWIcZkzjlFmc0zB1LE1howkbHQdbl1FlmfWmxXbXpihLngxCjmYxTUvlzlIDWalYb1mYugIS3D/w+fnjEXlZ8Ow04IO9MVVZkYuS7a5DLAre3+6CImHICuMw5WQW86unY26tuKx7FksNHVtTGSwS+p6FaylMw4w4KTicxehyRcfRubPWoGXVCcPBNObj/SkPBgvitKDlalzrN+g3DPIzL4zzw3sWZURpwaOB/3vrZeAn3D9ZcDyPGSYQZgUdpza1uSxReHkg/vzvg0R8I9OYKzOqK1zhzxOvszeDRPDpmXniraUGsySDCvZnEb/ZnTLwE4Z+wiRIyYuSWZzhmipNx0ST4Z+ejolSwa93x9xZa7DaMInzoqZ2lhJ5JbHdcxn4CaMgYbNtsd20uL3iMgoyfvF0xMEsopBKepaBa9UiCadBwq0Vt3aqLys+H8zZHYUESc6zQVC/blZwsojZ6rrsdBxkpeJ6x6EA0qLk2XBBkGRYusJGy2KjWyuzbfVcega8tdpipWET54I0E9wfLIhSwUrDRFEkmqbGkmsQ5HW3wTVVrq94WJqMn9Vy4Y5usNQwCbOS//eHBzw4DTA0FUmR61k8y2CzbTFdpOQlPB0EmIpGWZUoaj1DcBLUZph9x6CgIslzqrJiFCUo1IW2vWlInJbM0wxNqek4K80vvJHWmhZvLDdYb9ncWmpg6+o3Uj58FV7H6OyfG5cHpL9LIhhXHYNvMf45M9JX8eNex3FZV2WWGiamCuttG03TLjZv06h/Z7vtMgkykixnGCSMw4zbSx7vbLWZxxn2mQrOjZ7L49GC5aI2l4kzgWOo6IoMSKx7Jp6pIwcJGjIrDYO8LEnSgnmcsdN36NkmhiZhC5Vn44BxqCHEGTffMXg2jvjJ9S7v7XRI85JHpwseDxZIElxfs2gYGpJUcTSPCZKcoqqYR3mtfBHlOJpCy1KxDJsszTnxSzBrx+H3d9p8Oj/CslSmsSDNS5AlPEMnkQWGApKhsNK0UDWZt88M3nJR8YsnY+ZJRiQqHg9CFLl2Vf77+0NurzT5/GRB29X5+GDOjSUHS1PZaFr8em/KVttGVuAnNzpstFyiXKBIEqYm88ZygzAXLKY5uiKjazJd2+B0HnMwiXh7rYUiw/2jBX6e0bY1JEliOE+pKMlFhW0qaEq9/vKiZG8SsdowGfgJ2qVB4VGYoEsSi0TQ1qHvGqia9sr5mHNJUktTGQW1otTrcDS/6YDbFa5whT8dzvfmuUTxyyrDu5OAeZTzYTDhWs/F1lVcU2EUgCZBlAqeTQJGfoooKtqOwck0YTyPUYDNto2uKvx4u8Oj4wWBqKmeUZZTlCXbPYvBPMPU6kLRVs/l9nI9SzCNMoqiQpIr3lprAWBpCp8c+hzPU/bGMT3H4L8+GNK1dXqexf3Bgt1xSJqVPBsHbLRtBkFtYunaCmlWstK0mMc5jqFQUNH1TH69O8XRVJI8IxclugLXezZ5BY9PfU78GEeX2OnaJHnJcVHh5zm/fDbiRr/Bw5MATYXtnsszM2CR5EiSxI0lh59c63Li10Wip4MATZLJpZLlromqS6R5iaYpaEot2e2YMlkJWV4SZwJDljkN4pqa2nEoi6r2J2qYnPgxi1DQslT8VLDddoECRQbb+OJ73ejYz32vrxOrvM76OMefA4f/29wV+DJcJQbfc7yqdfeq4Oo8kz83JvmqzZuJkkmckIta5WieZORBhaZJXOu5nMwT5knOTsdG1ST6rsm1nsvBJGIW5ySi4M5qs2axVBBnBU8HC369O6FpajiWyiLO8SPBas9iq+tSURELARXsjgJmVs7dtTYf7U1ZsTT2RyG6KvPOsss8LXh3q02SFvQ8i91hQFaW9QG3SDiZp2z3Ch4OAjbbNllVkGUVfpJjGwplUeK5Onc3m9iayixKUVUFgEKUPB2FHMQQH8xJi4o1z2S1b/LJ0ZyyKlBlmaws6Lk6620bqlrN58HJAkNVaNsmTUthuWWRi4J5lKFLKnvTkFwU+JHgaBrycOCz1XEwFZmdrkuS57y32cHUNBxDgRI+OZyz3XF4PAxQZAlZqZUYjucRj8sAXZZZaZrcP/X5i+s9bEPlaBITZjlH84RZkOHZtbvzlutcrA1NldnqWhcGNmEq6qDe1LE0lb04YrNj8iCDvmfiWLUqkXPmknxZweJckjTKBGsN+4LD+lX4poP2V7jCFf50eB2n2LWGzePTAdeXXPKi9rrpOSazKGMW5jybBJiqgqHX81BRJhgGCUlR4eew3rF4c61FkAgeDQOOZxGlBNvtOlB9Mgzrgd9UoMolt5YbzJOMN1Y8ThcxQVywSHOOZglVVTEMYtKsQuQFcVowlSVMWaWiou/pyBIMdImep2NotSlkw1RrQzbbBAfiTPBAAlOVmceC//T5MR3bYBzEpFnBp6dzygX87rA2i7zW92g7Bq6lsd11aToqfi44Gkc0DJ3hPKZha6iKyn/+bEBZCeK8pGlptCydnArP1mrKaJFi6AqurNbGcFFOhGC1aeDHKY6pMVlk5FXFr56M+Fc3l1AVifWmi2vKLBLB9V7thvzb/QmGrGB6terfWtviyI/Q5IqihL1xxErbea5A9FUV9BdjkNd1En6dAtCfAzXp24irxOB7jPPqrCrJHM8jeo55MRz0VVJhvzcEDSDVNKLLG3AWZVSycnHA27rKfhjTkBU0VaZhq7zv9TidJ2x07IvBpWfDgM9O5/xkp1tTj1LBw1Of00XCeJGw5JmUlcRO3+XRyZwoyUhzQdfSmacZy56Nq6vszyJECUuuyb+5u8zuIMTVFWTgYJ5yZ7nBveM5EhVd2+JoGlMUJVsdG7mqCHPB48GCzbbDg1OfzZbNKExRFImdjkt7U6WU4HAU8WDgU1UVW12HYZBykkZokUQmQDElbE3iB9stHENnFqQ8PA14OlrQb1r8758NGIYZS45JmOY8PA1wdIX3rrVrGb0g4+aSR8vWWSQ5mSjwzNohczCL2Z3G+IuMt7c6zOKE5YZN1zFpWjpLDbM+0FWZUZiw0rB4PAzYbtvsTiJcQ6OsKjxboaTiyXgB1BWetbaFpjg8G4VYTZnVtsWbq62LWYKLTpCpMw5T9sYBuqzUSlESiLLk+pLLw+M5UvmFShXUlUFVqo3tbi010NVarnAUJGx3XMJM1B4UmXhuduFluOoSXOEK3x582X7NypLbqw0OZxGWoqCqMmmWcTSLMBQVDZln4xBNkWiZOjvdOjl4cDQnasD1vsMszHg4CMiLHOVs5k3XpNqbQFcRVUmQFmy0DGxDpe+ZfH40p2cZjBY+ZVFxNIs4msXkouBHm22QYGfpTGpUAs/UeHO1ycOhz07Hg15FnBVEScknhzPeXGvwWMAgTPjt3owkExxOYhqWiqoqaJ7MO+tNfvVshqer+DIMFilZUbHkWdxdazIOE37xbMStpSbvbrXYblk8HcUISqpK5tl4URtcLjLapsp6y2YaZQxmKWGaE+UlW53am6DlaIRxbQ7pmhr3judn7vYZax2L4TQmQ+J3h1N2ug5r7fr+/6dnYwxZYr1ts9qy8ZOChqWw2rTr7r6uMvZjAGxdvuj4I/HSwP48WHfOxCvOi4aXH/s65/nLYpQXn/tFRaQrvB6uEoPvML4qWz6vzh5MIkxdZhikz6nCvAyvGoIeLlIkqbqgl5yjZesEeT202lR1clHSdTWaZq1Z37JqSbrbyw2GYULL1Ll3POPe8Yy0qNg/s6XvODoVEqoC13oenq3x7kaHYZBQSRItyyAuSv7+4YD1toOhZGx2bYJMUFAx8BP6kknHNUAqeTaOsQyFjw+nqIpCLkr+/v6IIMnQFYXbq02uLcu4us7tVZvjWcZb6032xiGmItF2DGxLRlNUfvlkyP4sQpYliqLib26YJHmBrahUSLzRhpGm0/MMtts2fi7QNYm0KNH02jymaZQcjEKSrORkFpBlAkeTEVWFKCp6rsk0ydlo2SR5QZLnBGkFckkqSkw/Ya1tkxY5szDHjwN6jsH1ZZeWrdPzTBapqJ2gy5Kf7nQ5DRLeWm/yeOgjCthoOZwsYuK04POTBa6pnQ3PJXRsA8uslYbO5wDOpehGYcr+JCTJC1RF5o0VD02u19v5AOEbKy73fgdhll9Uk87X3kbHvrgULicDX6et/F1t6V7hCt9FfFVQNwoSPFNlGqSohUKSCmxDw1VVpnHGNMhI8pL/+uCUv7rZ583lFkGUM9TBVFU+P5kzDVNUReb6skecC673GpiGzJqkkFUFVBK2UQ/XnhtyfXzk8+TUp2lr3FlpMJzFVKpCJUn8jz9a59HJgq6nkWQVnqExCBIcVUOpBKEoaJgqT4fzWrL7NKDrFYz8mDwvyYoSQ5UQRUnD1FENhaysWO0YLCKLZjana2sczWuKrWk6PHy8QEgVh7OI7bbDzeUmbTcnSgrSsuBGzyXJCpq2RkHFeJHg5zn3T31u9RtUZYkQFWu6iakqDLIUR1eZBDlJXnESxax4Bje6Ljstm+EiQ1IrqkoiTgs+PZ4TxIJ7xzNMXaHr1fMJUS5oWV/4zjhdm1/Ite+RZZ51kr/C0Xh3EtC09JeaWX7T8/zF556nGZLEhR/G6+Cqy3CVGHzncHlRfxUH73wjvrvVYRZnXzo38GWvA0BVa9FHqeDpKEAqC0R5tsEt7eLxAD23HprWVZmBn5CJiqN5RO9M/iwvSpYbFllRsMgyyqBCFCVvrTXJSw9K0DSZMBPsT2Ooai3+UZhj6QpFXtH3TG72GkiVxONRQJILno0C8rKgaRq4lsLBOCJJCnRdIUgLgiRjfxbRcUxSUbLkmbRdnZZt8dlJQBBlNG2Dm30HU9cI4ox7BzMGi5SqgnmUs912eTQKubXk8HgUcr1n8Z/3ILMTgqzA1FWeDANWmyZLTRNHVWi7Gl1PxzZ0OrbGs2FJJcvkoiROC0pRcLrIuL3s8bvDKZos0/MMJAnWGzZJVvC3byzXWtKpYByktGydJ8OA4SLlnj3n395Z5a211oW02rNRgKpIPBkElFI9+5HkJT1XR6IeBj6eRRxPQ1ZbNsMg4bbXuAjqL6hhacYizWmZGqeiwFKUulp0hjAT3FpqcDRZoMsw8lM0NeLN1Ra5KFlumsyjWr3jfE1+k7byFa5whW83zu+r8zPjcBpRCKikijKrue+bTRvX0ng08CmoUIDjWXxWlJAYRPBkuMBUZYqi5J3VBmFeoagSAz9hrWORFDnr7Xrod7vj8rPHQw7HMZVSMY9T4qKkinI0TeYH2y0mYc7NnkOQCHb6DkeThINZiKkrbLZsxlHKcJHQsg0GQYYoKsKsYLOr0nc1FBk8SwFkdEXmYBKSlyXPTgMeHC1oWxqjKONoDm9YKo28ZL3jsDcMcc2aNtqxTU4WCZIk88PNJhUwDlIej0JUWWK5aXIyjwlzwf4wpGGrjKKEpqGjSRLzMOd4NuH6kkfLVNnsSvy3h2PW2xZtV0eIil7Tot+w6HoG8zjjaBIhK7Uk63LDYhxmqKqEpsg0TP2i07vcMDkcL7DVOsC/PIwLdaxwLq3esr5QoDvvCp8/9nyY+A8JyM/vj/PnvtlvXLzG112HL86+fZ+ShavE4E+EP9XCepUR2ste/3JW/jKqxpe95xc3z0bH5tRPOJrFTKMUT5eZZ7UqTb9Zc+5zUZKXJZr8RXUgL0omYcZmu+aorzVsdqcBP9hoo2l1W/LxacCPNjsXuvfngWJelDQshTQVNF2DqpIIkxxZl2qKyjSoeaCOwYPBHENRMVSJg2mIpsnsjmLSQtB3LRxdwVIU3llts9w0ub3ikhQFpqLwqycjTmYpfpKxoSgEuaDfsPj0aE5elViaQtPS2G7LPJ2E/PdvrdKyDf7yVp/PDqZEBaRpTlFWfH4yoywlFmHOcsfEVg0alk7L0fE0lVGUnh3CAkmWagm+WODpKv/tcT10FqQJkgQrDYP5WRfBs3SejRc8Hi1o2ga2JjMLUh4MFvxos8PjwQLLVGiZOh/tTUiEYOAnNEwDU5NRVVA1CQ2FrisR5yWLs/csJhHXl2oVj422XVdfzvwzmpaOJss8OPHZaDpkVX0p2oZ6kSyeIxBwPI/pNewL/4MoFFRIF3Shc0WLFx2PX5cm9H07wK9whW8Tvmx/Xu4QTqNa6cbQFYZ+wpNJQF5WLNKcvKrY7jocTiNUVQYq2o7OZ4chAMNFSiKg2zBJq4qmrXIyFxxEEVlR4Roy4yDl7mqTR0OfIMr59HiGqkiseBa6kmLrKp8dL/i728vcrCoOphF6mrPUtIiynCDNUGSLz08XeLqCjMxoEWNoCqIsWXJ1LFVlHGUsOya5rXHqp6iqjGNqJFnBOEgpqvpumIUpZQWH44T/y0+2yauSJBH8f353xIproqk1zVNTYG8ScnelyaNowek0QVEqsqxgrW3Xj5FlFqmgLEuO/QjP1MiFRsc1OJ5FrKy3OV0kdXIkSpqmjigLJGClZbHRtslEiSgqVFVm52YfTZLrRMPUaVk6nxzNWGqYF/e/bagssvq8X3shKXg48ImSAk2TmMdZfWeoMq6pPhd3vO4w8ZetoZfFNF9GQ81EydBPuCxs9LL75k856PzncIdd3Zx/IvypJBRfJZ/1TV7/Vb9zrkyU5+VFBfr8tfuuwbJrMvRTBlF9iB1OIh4OfI5nMaNFyjzJLp5nnmQ0TBXbqKXMjvxa1/98uLlp6vzrN1cIc8HTQcDBNMLR1XrQFVBlhbajEyQCURY0LY2+Y7A/C9gdhgwXCbM4o++YTMKUg0nEPMz5bH/OLEqRKtC1WvZtq+9wbcnh37+9iiLLNHQdVZFZaxkUVUmYZrXhV1bxnz8/xVAlDmcRlSQjSxLDMEORJD7aneGaMram0vVMugY0TI3Vpk3ftunYOht9B9PQyMsKIUqOJxGHfkSYFsyilFzU3Mtn45BrXYeTM9pPkuf0XRtdU3g6CnkyXHD/NGDkJ1BJbLZs7qw06bdMbEtjvWViKhJPRgvGfsoHuxMMVeF0ntGwDDQVep7JdtfFVGqjNFVWMPU6Seu5Bu9v154SS2cH4jzOaJ0d7poiMwkzmqbG/YGPIUk4uvJ76wjqw8Y2tYtg39HrA7tlaq88hIHn1vE3XbNXuMIV/uXxZfvzfJ+HmagLClJ9NoiiwFBldFnCNTQ0WeJgGoFcyz/3XJNpmLHdc3BUWPIMOraKoSjkZcla26aSKpqmjqpWFFSkZcnv9qc8OJmjyhI7fQdDVsiKkn93dxnbVNjq1t3YRSrYm8Z8djTns6M5pqbQd23CNONm16aooGGpaKrCs0FImheUFaR5QZqXpKLgs+MZizhnfxRg6AorLZP3t9t4popr6byx7AHwo502lq5iajK745i8KFjkZx4yEjwdhvhxwT89G1OIiiDPUFWFpTOJ659e6/LORovtlkOe1zTT02lInBccTCI8Q+XAj5kGKUma02roZ5Lf1DMbls7BNOJwEtF1DW71a5lRTZXpOiZRLggzwUbHJj77noJEsDeOKCuYxTVV9Fxu+t7xjHlYi4hMg/oefpE2dN4pcPQviklfJkH6xzzja7+FklD8/jp8UYzln0sa/mXv6V/6DrvqGPyJ8KcajnydoeEX8U2ViSIhsCSVhwOf7Y5bOxtLkJclFRXTDBZJgWXWVYLz6vG50QnUFecoExdcxXNFGgmV0SJF02py4PE8Zn8S0nNNJAluLzd4NgpQZJk0F4BEr2GxVEkczSM8VebTE5+uY3BjqXY3vtZzOJxFiApkWWbJNcjLgndWGuRSRZiqrDVNdkch0zhHFAWuqfHwtNby1ySF8SLFMmRu9Rw+OVmgSQp+mLK87JLmBYtSYhyl/E8fHPJv7ywxDjNSAa2OgWeqtZSeJmMYCiIvaeoOoygmL8GfxGRlSccxsPT6399yDU79lB9uNHk2CGm4OllRqxkleclokbLaMhkEGUuuxkKWSYWg7xkUNuz0HGZRRpwWHM1iOq7K6TzlzrLL7Ew+r23r5FV9wDt6Xc1q6Tq6Bq6lMQzqwfB5lBFL0DD1i++aCt5ea/EPDwcsuQZZVZCX9fd8PnC+3XFxNYmWAbf6List6yJZbZg6US6eW18vUyv6Krw4dHY1hHyFK/z54XXmhs73/1rD5iiOaNkGqirjGiqJKEnigm7TohAFLUdjFCYoksQszHB0EGXFcstiHuVUVd21vt7x+Ph4xtvdDifThGEY03E0kgxcT+Lfv7nKB3sj4rTETwTrHYcgKRBeQZwViKKoXzsvmcU5WVHgmCoPBgE/vd7lcBZx4sfEeUmY5ay1bDxb497hnCjN0TWNkZ9wo+eCDJttC8/QWWQllAVPhyFNEx4c+ax4Nj9/NuJgFFCVFa6p0HQsjqYhslIRpTkdR+OzM+W6MMnZH0dYmkRZeKy0baoSbEvj/smMhmUxTzL+8kYfISrmYYquKiiqRMdQGRc5ooDBIiFJS8ZxSpDmbLVc4kLg6Ro9zyA+Ew9Bqu/w8+Lc7iTA0mVkqZajRuKC558XJbEokalwTY2jecRqy37uvN6dBFhn9NPLhmF/CjWitq0j8hznKyLhP+UM25+DkMZVx+BPhH9p84sve/1XZaiv+p3z7Hm7414cFruTgGGQ1jKVts5yw2LHhWs9ux4wKuvZgu12rSChyzJRJpif8QGBi/9fa9ic+DEfHUyYLDJGYQJUrLVsRosERZb4xZMRiizxeLjA0BTajsZWx6mlSou6wtOxTSZhLXFnaypRVlAi0bNMfnqtg2ur9Fyb3VmMioQ4oznFhWAwC9kbh/z956f4oeB0EfJw5OMnCXlesTuLyYuqtqy3NVRZZq1j07IU4kwQZYKDWcyyqyIqaDs6PVfnes9lp+ew4lq8t9Phhzst3lnv4Boqx4sES1epgIap0nYNdAU0XWZ/EpOWJfMwo2FpdGyNqqp4c6NJhcQ76w1msaCSqCs3gaBlaeiqgmtoIMt0XZ35mUrD56cLwqzg2I8Roqy1qKUKCbC0WqIuzgTDecIszHg6DNAUmUxU+HH23DBXVpb87a0ltvoOG20HW1fJ87obZGnqhdLUhlsb4ORFycGk7vz4ccbYT/nHRwOCpE4QLg8gvy4u85NfXLN/DkY4V7jC9xEv7r0XuwIvq4qe7//7Jz6fHs4I0ryeq3JM1ls2SBVdU+fN1SarTZtcVBzOQySpZBCBn+TMw5y+Y5CKgiWvNjgrK/jHB0MeDAPKCmSppvW4hkYkBBtNhwrIzwwkZaUewtXk2pjz1kqDsippmioNS2MeZlQS/OrpGAWJjmNhmwrLroVna4yDFNdQ2B1GmIrMX9/s8971Du/tdFhq2pimwl/f6rLRdtjq2JQlSLLMLE0Z+glJXmLpGssNi76jYxsqAz9lkebMk4IwzXh46jMJYp6NfHbHMfO4nnE4mEekWcH1joujq/xgrcPJPMHUFZK8YBLVpp55AXdXW0yijJNZwtOJT5jmmLLC8TxC5CUfHUw4nEZoknzRLW7btZDIKEhYa9joioync+ZIDXleYusqPcfk9rLHjzY72IZC88zl/jxp2J0E2LpKnIsLD5qvqsy/Tiz1ulX3c8+lPyfW6b90rAhXHYMr8M0y8PPs+dZSg2mU0TJ1dqcBtlpXEt5cbXDo1sNI0yinODMUG5E8N2R8zi8Ps5qiUiFx5EcskvysqhQjyoKdrodtqHimyt44wjVkkqzkRt8liAuKsqK1qrM3CYjTklvLLsgyvVhjvEj5cG+CqEBUtcvvzWUPPxU8HQYcTyJmUY5rqPyTP8EyVSaRoCxKJAkWaYaiyCiyxEmQYekRqShIspKea6CpMq2GwWcHc/Kioufa9D2VnY5NkArWXXBVhV7DIikKiqJk2bVpGjp5WSKR0vJ03t9uM1qkrDRrze4bSy7TOMNQJIqyxNU1ek2drY7DcJ5gmxpBlPO3t/rcP12w4umMIglXU4lLQZDmHO3F3FlucmPJuZjfEGVJEAn2RgFd12SR5TXH39A49hO82mYARZXIk5KPj2Z0bIvTRUzXMrm14l10eM5nPQB+tNnh1E8IU8HhLGKpYRLnop5LqArUM9WKYZSR5xXzpO4k1cOCdXL51lrrufUYJOKie/BlXNEvW8N/DkY4V7jC9xGv2nuv2q9BIjieRzQNnUVSB7l7k4jNjsM8qecOVEVCVWQsXavVzQwFQ1L55aMxByGsZ4LNtscgSjAUhTgrQK4YBymqJNO2VZY8g7++ucQwTIiTgqNxzChO0RQZV1cwGyqqLDGOEkxJpe9aHM3jWk1IkdlqWhRVyXSRI8kQpAVVVdIwNVJR4Bk6Kz2VD/Zm/HinhWrU92LT1Om7Jo8HC4I4x89yUlHSsFQ8HW70baK04kbf4UBRSUVOnBY4bY1M1J3ig3nIcJEyWqSYCkRZgWvJZEXBNEjZnYQIUTKIQm4vN7nZ8jiex1BWfLg34a3VJpomY6gqfdeoh3VbNgeziEUqeGulhaLKLOKUcVirGB3NI7KioOMaF/f1LM6RpLowdN49eDwIqJBZZDk7XRfHUC++d8dUGSwSqLjwqFlr2GRlyXrLvgiEXzRU/SZ8+z+Hqvu3GVeJwRVeq002jbIL46pzzfnLv3swiagqqfYqMFWGi4T52TCSJFVUcoUkVfXg0Vm34bISUiZKclEiSRIt0+Koirje88gKwYlfzyWIsuQ/fnaKZ2gseQaSXBHEJadBivBLTmcJKy0TW1fQZIWOZ5BkgjgvMFWVp+OAhq2T5hW/fjahKiXiXNCydTRdommrZEXJ6SyjLCv2ZiGJKLnVcdluN/mslDENmZMghlLG1mVMTeEHWy2mYa2Xfa79/4O1NrIGSpASCthxa2O13aqk71lEScEsrl0286JEV2Q0y6Co4HASs+SanM5jup7J4SRmrWXT83QsTeGfno0oSgk/zri25HA4jVEUiQM/Yb1pkwjBhufwyeGcIM2Zuhk7Sy6VBD/c6KDJMv/x3gmdhs7ET1jEFvM443Aeokt1i9muZIIkQwI6rsloEbGk1jrQ2iWfi8uBO9Q0gAcnPm1HR5TlxVrJ8wKo5WsrWWEUJBft6Hc3u8zTLzpH58+diZIP9yYossQuwYUT6dddw1eXxBWu8C+DV+29V+3XRwOfUz+FBvx4p8cnRzM8S2USZvS8mp8eZyXTKKEoygvJzME8IcwLygIUWUFVJfqyyZNRwKORjyJLpFlJIhXcXff48bUeFXUX+1hEjMOUUz+i59oISvqeSZDkVKXEURSjSnUyMk8yLF3m2V7IO2tNunbBaJGh6dBUVD4+SujYOvM4ZaWhs9Sw0DQVSao9fZ4NQ079hDirz83TacLxPGW5obPRqBOjn9xoEaQmnhUyD3PGYYqoCm4seYzD2iW5UmvpU8+yaDkGg1nEKAyxNJmdrseTYcCdfoMkKzidJSSiYLRIWfIMhouEv73ZZxoJPjn2STNBUUHL0SgE/G+fn/KjzboTvd620BWVaZjQdQyyM+XBvmde0Ibatk6eS6gyNC2VvVn9GcV5TRE+p4xdrt4f+RGWppKV5SvP7fPB5XOa0dcp6lzJV/9huEoMrvBaaNs6x7Na1WHg15zz53Snw6TW2/cMNEVG5CDKukK86hjPcb8vJxXTKCMTZ61FURGLguF8hp+ltG2D5ZaLOFO/+S/3Tzmaxmy0wOrbJFlNixkHMfNY4BoqeVmSlQV785D9aYSf5BimAhK8YXgoyBRlgaIpjBcxay0LW1fwTI27ay38RPCLfMhuVFdz1FImA2xL5a31FqfzGEWRydOC6yset5Y9oryk42p0rDb7s5h/d3eVz499Pn40xY8yRhE8OA5oODpNQ2MWpTRst5ZGtTXG84ysLBiHGboik5cVliFzc6XB/jRCkyDKBWvtFr9+NiaIRf25ti2WXAtblXk4WtB3DHRF4uEwZh7mWGatZFFRMlok2IbK/ijkl0/HDPyUOM+RkDmcxHimhqNphFmOpsosYoGhKUDB22tNirJJJgpEVdGydKZBxidHM5Yb5nMmZLMoq5U5ipKbZ92ktl1LoIqyvhyXms5Fx+GrLO+Xmyan8+RrzRu8iKtL4gpX+JfB1917TVtnEmU0bZ22q/O3byzVxQcloGXqhLlAkyUUWSETJZ8fzankCktTeG+7hX+yz3rLwFQVRkFKw9aI85LPT32O5yG6qvD5ce1Z8MZyAz8RdGwdVZEwFJVFmiFKmfvHc97ebBHEgmmUoikqhiGz1mpwMInIi4rHo4C/ut5nvJgyCTIcTePWksfRLGLJM/hgd4KuSDwZ5nQdHV1WkOSKLKhoGzW9tiyh6+kkWcFJAPMjn0GQ0W8YvL/V4aODGXc8j6alkYmKv7nR49RPeDJa0Gu7lCUYqkJVVRRAkApWGiZ31xscTGPGYYqEhFUqrDQtokzQUxXuHQdoGowXOQ9PfbbaDus9m3v7M0RRG1G+v91ls+sy9lP8LIdpgq4r5HnMPMlqQ9QzQ1OpkmnqsNaysQzjwuz0ZSqJeVHTjOZRhq7KBIn4vdgA6tmQMC1qc7L2lTnZnxJXicH3EN+kPaerck37GIXkbk0dOe8iPDjxWWqYaMoXLcFQO6sg2DrZmZ+Baz5/QVw2I7HPhtEalsooy0nTiiejBastC02uB5IUVUZTJLa7Fm+vtvjt/gRTU7jWdYnyWrliFGSYai09Os8F0yBlpWWx03WokChECXKFVMl0dJWkLBkvMvYmMVFW0jQ1dno2iySnl1j0LL0OeMMcAfSbBmVZsdl3WPVsNE1CQ+ZkETPLcpabFh/tTdmdRDwZRhxMfU58SJ2Au0aLUBJs913GQS05OlxARd0uV5DYX0T0HJ25LKPIMkuuyccHE4KsZKvt8MaKB0hc79lYukacFTwYLNAUBVmSuXeyIIgFSSLoeiZlVbHVdamolTyEKCjLspa1k2RyJGIhaDs6++OIpqVzPI7Jq4JcwFKzTvRu9t1aos4xeDTweTKsB+OO5xFvLDe4udSov1QJdFWi5z7PI+5YCqGA7BKt4KsChvMq407XvZIevcIVvgdYb9nYuvpch+F85uDIr88nVZPouBrDWcr+rKZ1ti2dnqOx5UFRwUd7U1xHY8U1WKQRsiShqgoyEokQxFnJ40HAZtfBj3OQQJUlLFOtK+xFSsc2UWSJCglZkthuOxiazHrL5jd7M24u2US54GgWMggT2oZOyzNwNY39aQSVxMf7Pl1XZy+NuNZzOZ5n2LrMZBHQcQyW2xans4i0LLk/BSf3OfIT3lpr8XMx5saSy/4kRJMV3ujXxZG1tsVaz+LJcUhZVZRUOJZKKcHd1TbjIOVgVku5LrkmRVFit23yQrBICoI4x1QVigrajsa72x1EUdA2VP72Ro+/fzzC1TSCNEeXZZ6MFqRZBXpJw9JZJAKtkF5qiKqrMhsd46ViEJc7wedytOdd4fWzwP+yb8AoTJCoVfP+WOf/n4MU6LcBV4nB9xDflHOtqTJdV7uQEm3bOqMgYflsoPRFilFTh3mU1U6ORcFPd3oXPPFzydPLRic/3enVpiS9Bv/wcEDL1vhgd8Jqy+JwGrHimjR0hdvrLT45mpGJClGWrDRs0lwQpIJZlOIaOisNk1Cph1ezomStZbNIBYUo+e3hjCQXvNFv4GgaD4MFJ35KkgqKto2tqlRlxbJn0TQUeg2T3XHE9SWHaz2HRSx4MgooREnbMZhEGR1bI8wEe5OQv77eZb1pcO9QEEYZOZBnBYUA1ZQ4HIVs9mwmi5Sby/WAtISETC1rehykDIKUnb5HUZWoskoQZ4iqoOs4bHVKdFVlkeQ8HQSkZQVVVVd1Skjygu2ugyLV8nP7owjDlFlv2miqTJIV2LrMIi2Rkdju2QSJYLPrsD8OGUcJVSnhWArPxjGmqnLk1w7FB5MIQ1PoeTqPByEdWycXFbMoI8xqN8zz4bHzTlBd7a8wZBgHGXkhkRflRbXpMl6cKfhj8E2vcIUr/Hnj8t4+pyieq93pssynhzM6rs5okVzcF8N5QlIUZFmB6kEFRAIOp3WRJysLpEpio+WQF7XaW5TndF2DvmPyg60Wnx7NGYUxiiSh6zIbLYuhn6CUFfdOZvxovYUq1RTZ43nMSsNkKjLurjToOLWzbtc1eHC6QEJiluTkoiKYZ9iKRsPSkIESiaal0nF09iYRN7sOv9idst60MHSFe8dzpBKCpKDtSUgy7HQtPng2ZrlhIaqK3XlEnOSMo5zrPZt/e3eJh8MFJ7OMhm2hSHWCkwHH0xjTVChESV5WLMkShiqz2tTYL0qO5gm6IvPGskfHVTBUuVa2cwx+tNnmaF5/Jh/sTlhpWsyinL+8sURWlji6yizOnpMrP9eiCFLB0TBEk2XCrKDvGmx0nq/2X04QHg58lpuXZtHOMI2y5xQL/1i4mjd7PVwlBt8j/KGSjkve8xrEuipfDB9fdi8c+AlC5BemISd+hCLJ/OrpiDdWGrSs2jVRlWRiUSv4+HF9YK+3647Dv35zhUcDn65nkIuSnb7L2M/QFQlNktno2Px2d0pVVfxmb8xmy2Z05iNQUTFLU6K0ID7joU6jjLWWzW/3J4wXKSUVsyRnnqREaYlExWqr1u0fBSlrbYeDWUS/ZUFV8cPNJj3P4O5qi//5t4ekecnv9udYhspWxybKyrpToSncO13QNDUMVUVVFRwEWx0HRZEIklrF6cGpz2rD4eFpwP0Tnzgv6TsGG20Lz1LRNRVJKnljyeN0mpJXBUlW8PHBjPEiJSsKNE1Bk2RkuWK1aSIK+Hg2wzW0Wsa1yLEVjVGUkvoFIHGr76EqMrMop+2ZrLgmnq0xCxIsTeVvbi3xZBgwDRMMTSXOC3RVvpCj3ejYZ87TFpsdl1GQoCnShUTduSoQfHG4z6IMqSoutKIPZiEd14CqTjYvr53LMwUvrq2rQ/0KV/hu4nxvnzur749CxlFGnBTEomAR5TwbR7yz1qyHXVWZlmOwlgvW2zY9x2S8iLFl2OpYiFJGUuAn271a1lqSWGnrPBsJZlHGDzc0jv2Y3UlAw9Bq6qUhMwpTtrs2P38yYk1TGUQJW22HUz9iEqZ8fjxnu+tyWMXcWvLw4wxVkfnBZouqAl1XeHiyYMfzUJUKW9d4MggIkpyfPxpzY8mhaRt8crygopbhBvA0Dc8AvWFQVRUNQ+XBcUCSlCRWyVpb5vQ04ZPjKaaiIlHx/nYX01DpORH/+f6A/plr/fWuhchLJkHM3jSiaWkcTmJ+fKPNLBTME0Ga5GiWwTxO0VWLD4+m3F5y8UyVgop31ltIEqx3bHJR8t52F9dUCRLB50dzsrJAVxU8Q+Nh7LPWMJhncP/EZ57U9+lS06wTFVFeDB0vXVLbeVn8cI7zGOPyUPIfAy8zfXU16at/8XuGq8Tge4QXJR1fxIsV2Rf//2V80cvZ/6mfkIuS41nMNIyZZ9D3TN7d7PJw4JNkOcezWlJNlWXuH/v0PIPHg9oifp4IbEPF0VU+P5oziVO2Oy69lnn2dz6urnAwi3h3q0O0KvjscA6lxP4s5Kc7PQ5mEWleYMgKgyxlp+OySAWrssTuKMTTFVxTYbVpEWUFpqKR5hGWrrDdsRiGObaucDyLcQ2VaZAhUTH0U/xUMAlyHEvBjySWGjqaLGGoCv/u7ioPjuf8L58eE2YFcV5gqSrbHQ+/SmlaBlQVVQVBJHBthWmcMpolZLlgME/ZbNkEouQn1zqMwpRUQFlUdDwDWYK9aZ1gnS5S0ixnu+/RaSgYqkmvYTKaJ7hm7QPhJxkbLQtZlkiF4JPDAAlIk4KDRUjDMvBMhZar8fHhnKGfcFtUvLfT4ZrkslHYjIKEXFSoqoSuymiqTJaW+GlGTzVpmXVFZ61hE+biYpD8HOca1bamQlVniT1Xp+taaFp92F8O9C/PFKw1bO4dz8jzirxVstGxv9LJ+wpXuMK3D5e7x3lR3x/DIEaVFSq5YrlpMlwk7HQsFll+YYyoqzIbLYeubRDlAs/SEBKstVxMU6XnmkSp4JdPx7i6yqPTgIatUYqK3x3OUCTwI8EiztnpOCRFWctap4LVps1wkfDueot+20RRZe4dzejYJh/sTri75vHp0RxLVfDjHEWVaZkauioxdw0cU2WnZ/NkGLLUsnjyOKRnqRxNEhZJgabKCFESiwJJkmk4GisuLC83WaQCRVGYRylBLnjD1vir60scTve51fc4nCfcXGrwX++fosg1fdTUFMZhzs0VDz8U9Bv1bIWmClRZpmFpUEpMggRVktnoOjRslaWGye8OZmy2PAxdwzAU5LTm/L+71SE8U+6zdZWdnsvuJODx2GcRF6w1LY7KmNurDfbGEaKEXJQEqeDOikfPMy/O7ONZzOLM2PTcMflFhcPL+LLZlFed/a9zJ1x+3lM/IS9KZmfCGFf4Alc36vcIbVv/UmfBF7V/v0oL+LJG9fljkUDTJDxTA+qNeG3J5e56i6WmjaZKbHdcRFlyZ62BbSi8s97kZs9ls2WRFyWPBj4PBj5PhyGHswhdlvlwb8Jmx2aW5FRlxaOhz3bbpWlpyAo0LINZmNOydTaaDpko6Xs6eVmw7Gg8Hi6wNJndSUyFRJyVmIbCw8GcbkOjaWp8uDdFV2EUpPRcA0UGqpL9acRgkXI8i0lEQZ6WtGyda0sNllo2m22b/9dHB8SiRJFqN2Q/zGi6GjdXXGwN/DhDliUURUJW62HqMBG0XBNZkbmz2mSwiJEk+MXTCaamkYvirC0u+ORwzopn4poaRVmy5NlYmsTdlRZrLRNdkWk7OoosocoSa2fJmiJDXkDLVHg0DDlaxESJYNkz+PF2r1YYkiSyvKj9G84cKOdxxnbbrbWnrS8C8jgXRGnBg9M5jwcLMlHxeLBguEgv1sXBJOLpKODRmaKEpsoXrea+Z7LesdEU+Tna0fn6bFo6f3G9R1bWwYJ/5sp5vpb+ECfvK1zhCn9+ON/D2lnxwU8FLUdnvWPx5koLW1N5e6MFkkTb0vnVsxGfHMw4nSc8GwV8eDAhSguGfkpXB1WRakPNvOSTgxkrTZMjP+b9rRbXOy6SLFGVEsN5wjBMsHWdsBBIQNcxcAy1ponatTO9rak0LY0fbjRRZbjR93g2DtlsmmiKhJ9mHIxixkHG/jjGtlRMVeHDZ1MWiSBIBDf7LpZpYGgq8zin51pUgKWpNG2VIMkxJCiqkm6z7sxXSCRnstj/j1885Y2+S69h8n+43efpKEBXFO4f+0wXEUfzlBVXrwtYWcHAz6nKEqQKTYZKgsfDAMfQUBUwdYlb/Qanfkrb1vCThL+83iVMBPNYoMowChI+O5pzOIv59dMxDwc+aw2bG90Gd9ca9JsGd9YaiLJkq2ujyrVPTd0V0S/O6rato6kSDUsH6ffjiq/rM/Oqs/9174TLTsuaItO6Uqv7PVx1DL5HOK/6voqO8aK03Fe5VL5McaBt1/Jxw3nIkf4F53CtYbPSsM6GU2tqyu4kYLvtkpUlOz334vmatk7PM2nZBdf6Lkd+RFVV7E8i3l5vsT+NidKCT45q2oyhSQRxzuNY4JoKpqZQyhWLsMBzVE7DDFGU/PzJiKal4xgqrqnwy6cTpLLkaJKgGyoKoCkRf3dnmWfjAMdwGAUZuag4DhJUWWIwizmaxWiqzJ3VBm1H4z99fooEfLo/xdAUbEWmrKjNyGyNWQpLQJwJDENlHuaIoqJhKUzDjPd2eoyDlNWWzSzO2O47lFWFrsqIUubTgxnXeh5hVlBQYigyQSa4YTs8GQWsNmwUTcY0FdqWjipnOKaKEBWPhz5vLjWZuiY3XY1JlGFoKsi1b0TD1Lm91sCxVLqOeWYmVycu2Znc6OCssgK1b8W94xm6KlNRPSdFe37oD4OUaZTiGtoZd7TBcF5XZWZRhqrVEq1DP2GeZESZuGgZn6/Jtq2TFzarDV7KMb2SIL3CFb4b+L29XHGhahMmgt/sTmjZOq6psT+JUBUuChGVBK6uoSkS/bbJU7XuSqqKzChKaFka8yTn//rjLfKi4tGpXw/q5iVvrHrM04IgyZESiRXPPpvXAkNX6DdM+i2DMCuYLDIWecZSw+SzYx8FmX0/4u5yi0GYMl4EjMMUXZVYcyw8Q8NPNbK8YLlhkYucSZxT5tCxNeZRSlFUTFOBl0p4lsZuCm4JUlkxDRMkpcIxVP7LwxNudDxO5if81c0ujwcLng58Tv0EU5bRZIXNlsZy22KlZXP/yOdkERNlGQoKnlFRVFCVFaI00OU66fhgd0wpS4zmKT/a7vCPj4bc6LuYukQiKnJRsd61qKT6fdh6LS/64+tdMlFyOI2YJxk3+w0MpcJRaxXCnqHhaCqfHs0uZsXurrae+45f/PNXUUQvdwNedfa/7p3wInMiz/M/YPV+N3HVMfie4MUs+WWb50XHvS9zqbzc/r3cEjynHC2dbfCP9mbMo5wjP7oYWh74yYUN+pEfEab1oJmjqzXvXJH50UYbU6/bupoiI8rqrMOgcnvZwzYUlpsmgooVzyYrCkRZMgkywqxk7GcYhsKNboMf73TZndSmMGFWYOl1QB4nOUd+SqdhEEQZnqGw1q1pLsueRZQX3F7yaLk6Gw2bRZTz4cGE3+yOOJxHnMxiTvyUOBE8OPXRJIVBkNJvmNimRtPROZnF9AyYBCmbXZdFkpMUAhmJaVRX7tNMMFmkeI7CrWWPtqlTISFKuHcSsNaykOSK610HkUOcFxiyxCdHc8ZBxmiRsDdecDCMWG1a3Flp03J1FFXCNXQ+OfF5c9ml61i8s9Fi2TNRFYkoLRj4CatNm59c66GrMqok8/DUJ8/rIbOBnzAKv+gK6arMzX4DS1e42Wuw2rR5c6XFatNm6ax13HcNrvVc1prWxUC6bahEAmxDvXC3nKcZp37K01Hwe9UjgI22zUbn9zmmVzSiK1zhu4la1ca+kLr8cH9CVVWc+BG6KvGX13ustW3e3Wzz050uP97qst6x6LkmFRKLM++cKBUM/YQ4L3l7o0nT0knyojaLFCXXl1ze2eyw4lrISMSioizrYk3HMbjWd5ArCOKcNCsIs4zPD30GiwxVkYjzgjStUFSJW32XlZbB3jQkExUlMqKqsE2Va32X7bbOo0GAoyp4poKuq1h6LR6RixzH0hn4Ma4Cfa/uJPc9A4qKUz9m2TJ5Mg5YpIL7Jws+O11wOE/43e6YYZCw2nZYalp0XYOOpbHestAkCamSmIYJizhjlmTIyBRlyVbHZp7UYh1ZVtK0VIIkZbtjI0kSP9rq1P9+JApR0bJ1frTRIcoEjq5eDA2PzpKzWZQx8Gvfooq683PkR8yjnA/3JmSi/L344HKccX4fnBcgv4rN8Cpn4Nd1DH7RXTkTJfOM1+5YfB9wdat+T/BilvwiN+9gEnEwjV66OV5mU37uPzBPXt22CwUsNXSKsmK74148T16UhGmBH9emVn6cMY9yHg38i9/95GjGaJHy270pD08WiLJEk87oJ2fBadPSeXejg2UorDRM/DjDNXVSIVBkCVtX2ejYNC2dzaZDnBc4hoKmyHxy6DNLBH2nllZba1lMopw3lprc7DcQ1KpElQQ/2urgWAqaorBIMlxTw1QVbq26zMOMQAiWGxZJIVhr2vhJzlurLnuTiI2uw25YV6CejAK22jbrHYetvs3f3urRtDWeDQNO5jEPjxZYuswkTLmz7BAlOZtNE1mS+NFmC01VQKb2XbA12paOnyQczWP+f5+e8N+ejNifRozChDQpaLs6MhKiqPiPD4Z8fDhBqiSQKjxTu0jg5kmGJsu8u9VhGmVUZcXHhzOGfsLxLOZ0nuLHX3D7dycBVQkf7k+IMnHRLj4P7jc6Ntd67nNBfZQKbLX+7zm22y7LjTqJOH/uhwOfMBVf2g7+ui3jqwP/Clf4l8WX7cWX7eeBn3A0i1lumHiWxkbHpmHq9Xm82WGn56IpMpMo42gcc+LHTMKUeQYH04hfPhmjSBKWqdBz6jNuqWGy1nZpOhqDIObvHwz4+GhMmBYkSUFcCnJR4Sc5g0XKZydz/u8/2+WjvQmTKKdlayDBta6NrZ+fxXWQTymx2bRRJLi94tGyNKIkp6LiowOfvCz55HCGZSj8zc0eXU+n4xncWvIoigJR1vflIi9Ybto8HYUUFfRdk5yKnZZDnAlGi4z3trrIEjiGzCKt5U/fXPFoOjqurbHSNjB1hTMzYhZ5jiHLjOOUrbZF09PoWBqaqjBeJKy1LW4te2x0HK71XfpOTWWahCkfH854chpw/9S/EJK4d1QX+ySpNojLi5KjeUxRUlNabZ3tjktR1vMhr0v3nH3Juf6yGORVCBLBp0czgkS89OcvJhCzKLvw2LlCjavE4HuCL9tY5/SPUZC8dFO+LBM/55vbuvp7v3OuTGTI0DrjjLumiq7WVYGHpz7DRYKtqRca1YkoyIqajqIp9etVgGMo+HHGySzh6SRg6Cc8Pl3wq2cjdFnm/onP02HA8TSh7RiUUsH1rsNm28HVVfKiVrCogOYZB78UFb2mxlbLYqVtstN1GQQpa22bo1mMa6r8dKfHWtui75l8dlLzWedJxkbT5cZSg//be5s0LZOOZ9QeDqrC2xttkCq6rsHuOOaNZZdJmOJp4Mc5liwRpjmeodL1dLa7HjtdlyDLOVnEpJngeBJTAh88m/L2uoelyax2bXIBeVmy2jK51vfoeTorLYPNtstnRzNO5zH7wxA/zsgF/LfHQ04mMf2GjlRVTIOMRVzws8cjqqrig2djgiTncBZdOEuGmeDttRZBVtCyNeZphnTG77e1+nse+AlVCf/1wYBp8EW1/9zT4uHAJxPlRSAQJIJTvzZXAy6UR/KiJCvLujrVcy/mBqoSPtqbMPITDiZfnqh+WYXpfF1fzSFc4Qr/8njVXnyx8wx1YPe7vSmfHc/QZJm31lt0HZNno4B5nPF0EHDveMbxLObhic8HexOOJjGTIKOo4GSest4yCbKCdzc6RLmgKuH+sY+qwMks4d6hz73DOSezDFEWtF0NSvjlkyFJLlAkhQcnAUGe86snIyoJlhsWf3G9A4rEtb7HastkGmYoskTXNWi7Gu9vtfGTjGejiKKsGPkZFXA0iRBlRVZWNEydzZZFVVb4cUGvYWEbCgBqJTGNM1Y8i6oscQyd7baNrEr0PJP1ts1Gy+L/9PYa/YaLZ+oczSMGfsb1rse/urGELMk0jFoVr+eatEyDqoTVlk2UFqy4Fmsdm7Kq2O467I9i9qcxnxzMuHc449OjGU8GC5Jc1KwuuWK5UScLSJAVFYko6J4py534cT1cnNXO9rVnkcpfXO/V1N3XPKfP7/7XYTN8GXYnAVFasDsJXmtttmwdVeZq1uASvvWJwX/4D/+Ba9euYZom77//Pv/wD//wL/2W/mD8qSud5/SPnms+1177svdwLjX2ohkNnHUTipK0fF6eDOpNG6cFp37KPMkuAvdrXRddrXX327ZOXpZstRzWOjY7PRdTV1AliYcDnw/3p3x2OOcXj0d8cjTHj7JavlOVub3U5M56i62+Tcc2+Oxwzt4kwDZVjsYRz0YLFEXi7lqTv7jV472dDg1b4b3NNpYm8f52h0yUHM0iPt6f8T9/tMcHT6ccTCL8OKOUJDqOwb2T2kr+1pJHzzVYbeuEWcZ6y6Jtm1i6iiLVr9MyoWcbTLKUrJDYn8REScHvDqYMgpTyrDJk6gotx2R/EjL0Mz7Ym5GWFVEkKKj44WaH9baNpco0TZ0Vz+JwFmNqCqoic2PFpWnpLOIU29QYhCkt2+D6ssvf3e6x2jL513eXGS1yhn7KvSMfU1U4nEYcn1G6wkzwzmaLhqVxs9+gYWr4ccqj4YJZmDEKE46mMSueQUl1Ue0/TxRVuVbvuHc8I0xrT4Lz1r4q163mV10AbVtnsEhIRMHv9qc8OJ1zOImeSzAut6XPKW4DP3npWv06VaYrfHvwXTzzv+t4GX3j1E8YnNEGz2mmB9OInz0c8mi44GhSc9jbto4oS1xT49kw5Fe7I47GtVBD01JpOzpRLpgnGcch7PQtOq7BO5stwqxOCn72eISrK/zm2ZQ4y+nYJts9izsrDa4vOby52iTKS1y9nsPSFHh7o4Uqy2y0bR6fLnB0lVxUGLKCpcqst23eWmshSRINS2MRCz488Pn4oK5WB1mBoanYusxG10NUFUEqeDj0OZ4nLKKc00XMyI9Z9Sz+/+3de2wc1fnw8e/szuz94vXdzsUxIRduhZAUkohAuTmlUGgrIaAVhRZQKZSSggQBWoWi/KAgAb3QQqOiiIIqInHpS1XelxopCS1p3obU6A0JhEucOLEd39d7v5/3j8k6dmIb2/F67eT5SBF45szss2dnn7Nn5swZrw1cTp05ASd9CXOGoUU1Huw2K06b+ayBRdUe9nVG6OxPUuIyzB/APTG27j3Mux+10dIT4YL6cvwunbNmlbCo2sdpFV4susah3iiZXJaOUIJ5AQ9fW1BBOJ1BaYrOYIL3P+9iT1s/2/d1o3LmVe6FlV7OqAmQzuUIuGyUOG3YdI36Mg+GbqE9GKelN0Y0efQesrzRhiIPd2xUeh1j/vE/2u+TulJz0gzz+Tlfvp9gLIVbZ0qGpc6Uq9gzumOwadMm1qxZwyOPPEJTUxOrVq3iqquuoqWlpdihnZBCnOkcbZ/5cZ2zA0eHfoxlRqL8jcn5YUV5AZcNm9WCWz9aNj9UqcLtIJXLUu4ycBk63eHEwBkjpTSCR84+Ow2d9lCMdEbhcxqUuAwi8QwO3YrVotCt5mNj6ivcpHNQ6XdR6rFR6rVhWMynNMczGfqSSfZ3RWnuCpPOKrpDSULJFPUBH1ecUcuZNSVU+ZzMKXNzQX0FwUSK1t4Y733aSdPBPj7rjBJOpo40ag4cViv7ukK09iX4z4Fe3v+0E5fdSjiWwa7reGw6ihwOm5WeaIq6gIMyO/hcBpVuJ7pFMbvUyRcdYWKpDP890MMsv4tZJW5ml3oIJ9OoHATjafqjafrCKeKpDIuqfLT1x+iLpMlZFCiN/T0xKr12HDadry2spNrvxGLVmFvmosJtp8RhYEFjVsDNmbUlXLq4mr5ICqvVgtWiUekxcNnNDldzV5jOfvN+gu5Qkl2H+ukOJ/ioNUg8mSOTybH3sDnLUMBroFutKAUljqM3kOVnm0plzZuL4+kMdaWegZkf3Lp5qTnfAKQyOXa3BemLpAbuK6iv8FDuseN3G/ic5gOE8k/HHnxFIn+c5c9iDXesjucsk5gZTtacf7I79rt47Flit03ns84Q7cE4mZw5PLGqxEkinWVPW5Ban4tav5OAx8Bz5OqjrmvUBswz3xVuG+19cXIKtu/rYef+HrpDSdr7Y3zc3k+52yCYSFPrsxNOZKkssXFGjZ+5ZW7qyrwYFguLqn1oFo25ARcKsGg5vrNkFoZhTm+tyBFOpUFp5CyKvkiatv4YZ9eWEEqkyWRzdAbN2Yk6I0lsGiTSZrtQU+JgQaWP5u4oHcEE4WSGunIXXoeB227DqlvwGVDrd+CymdOedoWTzC9z43UbROJpXDadv/73EM3dYVp6osSSGSo9DnSLRjCWYEdLH1s/6eRgX4yLF1ZRX+7mq6eVsqDSQzRpPrNnf2+MeCZHVySBblg5a7af2oB50/Vp5R4iiTQ1fgfBWJpsNodu1eg+8oybvljKHO6TVvREk6QzObJZhcemU1VizuJn6BYO9cWGXO0d7QTNaL8jRjPa7xOPQ+es2pKBh6l+2X5S2dzAM3YKbaZcxZ7RsxI988wz3Hbbbdx+++0A/PrXv+add97h+eef54knnihydBNXiBlXxrvPLyufP8AP9EYGprPMzyiQH7uuW8wv/v6+KLFEFsPQMKwW6sq9RJJpYumMeQNWVmHomjlsRTPnv9/dGkS3QDCS5kBPhP54mlqvE5/b4LIzaoglzR+dbaEYV5xZzf87FKTC48Bl0+mOJNAtFhLpDE6rTiiZRrdY0dDQNQs23VwWjKfMaTnLPHT1J9jTHqTCY6e1N04klcHn0Kn2lGCxABYNp26htT+Oz+WjJ5qkry9JmdNOMhdnQaWHcCLLoWCMGr+Lxo/asNus/K+mFH0xsBopUgpOr/CY06F6nbT2xlBo2HQrZ9UFCEZS7OsIk8oqlMpR6nUQj2fQLLCvK4LKKQ71x/DaDDQDXHaNlq44Z9V68bvspLOKnkgSi0Wjym/H4zBIprPmNKAOG591hPi0I0w4kaLS58LvtnN6hY//RLuxW3XagjEWVvt455NWSt12/vrfgwR8NhSQyGRZUGVOTXdGdQkHe9qIZ3LsaO6h1GOjN5ZkQYVvyCxGxpEbzTwOc+YH3WJeQVKYc0jnH2LU0Z9gYbX5oJtZJS5cNn3gIXz5/+ZnscoPXcv/yMh3MGSGolPDyZrzTzWD2xebbjGHGx4Z+nlGTYAzagP0J1K09cY52BejN5riogWVlLhsGNYQfZEUu9uChMLm09ZDyQyLanxs3wVftMco8ZpXGM+bE8BusZCxaJw9q4QPW3qp9jk41BsnmshS63PispvtllIaC6u8HOiJ4bdbcVT6yAAX1pdysDeOy9BJpDJoGuTScCAaIZvJ0RlOMrfURVtfDJ/LoDeWpMxtoy+aIZrOUeN38tV5AZoO9FHpNp+SvKSuFAsatX4HvdEkwUiS3jjs7YiQzSoO9EaxWs0nLs8pcXHO3AA7D/SiWzXaw3HcNoMyr4Nqr52aUgedoRQ5lWNPaxBD18iiOK3MQzqbMzsdDoOeSIp4JkNvJI7brpFIatR4naTTiuWnlZHI5qjyOjjQFeVgMk5nOMm+rihzy1y09sWYVeIimE0RSmZIpjKE4im8DoNZpU4y6SxeG7QHEyiLRjqt6E+kBiafGGm2odF+R4z1+DnR4zCTTg+cxCy0mTKb3oztGKRSKXbu3MnatWuHLG9oaGDbtm3DbpNMJkkmj863HgqZN7um0+lJm7Iqv58T2Z8GlDqtoLKkJ+nhG+Pd55eV9xgawXSWWp+dWNKcJjT/nlOZHN2hKJkcdIei5gwJ5Cix2/C7bPTHUlS6zUYgm8miqRx1AY95g6qh8UVHP9mM+TC0Wr8Du0WRy+SAHCV2qzljA3aCsSQVboNP2/qZX2Y+oTgUNZ8K3NoXJ5zMEE9l0ZQik8ngcWjMLXeSSWXpCMVIpMwHrZV6bOzviXCgK8I/93bisunYLRpfqQtQ7rbRGUnQ2Z/EpuvUl7vpDScxNIP+mJmAl9f5UZpGZziBzaKx7YtOYtkMXb1JKLFxOAY+exZNy5BIpUkkM3TlYswuddERTDCv0s25s7x83BommrDz6eEIC6s9lLhsJN1ZQokMTQe6KXHb8dkN/E4LkVSKznCCUDLJx20Zrjy7mmwmRygGs0oc9EfT5HIaDh0+aunFbbPiMCwkU2nmHXmOQG2Jne5QlGqPQU8ozrxyN12hOKsWlPJxW5gqn41MVqHrFircBvu7wlxwWilfdPQzp9TO/q4sTgM6+6P0RNJk0lk0slR4HQRjWaKJFB+H4pxe6UFT5jGUTqfpjMToiiRJpMzPvtrrQMtl8TisaCprHnco7Mf8d17ASfDIkyoHf78K8X0ppMnIESf62jPRdM35gxXzs50MUxX/sd9Zj6GRSSsWlLsHripUZgziiTS94QSRWJL93f3EkzlA8WFLL6DwOm3YrBBwWOkIx6lygd2uYQWWzPKRzmQAjRqfA01lWVjlJhxP4bBZSWcy2PQcHx8KEnBZsRs6kXiGaq9OJJnB79Cp8Nv46JA5+1tWZcnlzLP6ZR4dooquaIyO1iQep5XFNR72d8codXuIpzNkcholTiuVHhunV7hxWjV2HOgFZeFgT5hoIofDrhGMp0irHMEUtAcjgEZXJI5hteC367h0K+fMsdOwuJz/81EHfrtOhddBhccgq3LomsacEjuRVI62vihv7DzI4ioPPeE4HrtBLgseu47LZuC0WmnrS9AXTTG/ykdAGcwvc9LaF+W8OSWUe+209UYpc1roi6Wp9Nn4/HCI06s8dIeiVHgdzC9z0N6fQMN8Po7LpmOz6uyxQK3fIJpSdKdTGJqFrv4oJS7zpuX8/QeDjfY7YjzHz4kchwGnFd0yNd/ZyW6rxvJ9ncj70pRSasJRFVFbWxuzZs3i/fffZ+XKlQPLH3/8cV566SX27t173DaPPvoov/zlL49b/pe//AWXy1XQeE8l/SnI5EC3gFs3Z1tw6+bfg+VnYhi8rj8FyQw0h8GwgN8Arw1zqksdrJajZTM5c7kOBNMwxw3JI1ciU0f2kcmB04BgwtyfzwZ+G+Qwt/UaYNGgKwmf9prlASpcMMsDTgt8FgSLxYyjxgk5BW0x6Iyb+yuxgcOA/gSEU5BV0B4HpxVKnWC3QCgFTh2sCkI50BW4beZ/Z3uhym2W+283xNNmzF8pNV/ji34zLq/dfH2rxXzPLTHoioFNh1I7VDkhm4O+lBlXVkEoCZ1JcGjgs5vlDAtUu8y6yuSOxJwz91PhOLo8lTHrtcZpvp8Sw/zbZgGrBgHH0ffWGTeXm420+Zm2x8z1dt2s87yeI/Xk0s11wx0bojBisRjf/e536e/vx+fzFTuccZGcf+rJ5OBQxMy5Fs3MGS0RMKzQF4dFJWa+6j+SdxMZcFihxmXms3xusx7J37rFbF+CSUjlIAt0RiGloNwODh0SWXMf+Zy1rx+SCgygwgmVTnPf2Rx8HoL+JOganOYz40vmIJ6B7jhYrXB+ubks364lM9ARA91qvr+ADeJZ8NshlobehFk+lTVfK2A3X88KHI6bZUodUO81/26Pg89qxrA/Aqm02R7N8wPKbAtiWYikIJo224Csgho3zPWY21sxc3e+bcm3p/vDZr42LLAoAGWOo5/LSO36seujmaO/B/zT+0T5SWkiOX/GXjHI0/LTphyhlDpuWd5DDz3EfffdN/B3KBRizpw5NDQ0TFojmU6naWxs5Morr8QwjEnZ50yTv2LwwbZ/ctXq8dVD/mYg88amBHPLXANjSvPr8rMHBGMpc378ZOa4sxGpTI6uI/cvGFZzHv38/mxWy5BtXXadrkiCjmCCbC6HfmRWpHKvg/6YOdyoI5TivLklA9NqtgVjA+PiS902dN2CdqSLHUvnaO2NMa/cRYXH4H83buaKyy6hK5LF79L5uC2EQ7dQWeLAZrFgWC1UeM2hMQ3JDC09sYH3nX+t7kiKMq+NWX7XkPfeHoxxqC/BWbN8pI/0avLvtabEQXc4wRedEQJuGwurzTKD6ypfT8BADMfWtU23jPq5jLSfwfvQVHbge6E064hnkE4FxcwR+TPmM9l0y/mDzfT8Px3jz+eRfL4+NgdFkhm+6IzgssGu/7uN5RetotznHshBo+WlaCrDB829uOzmvU+G1cKRGZ3NM/Yuc9af1l4zx6IYkrf6Yik+bAkyO+CgrswzsDwyTB7P58+WnhiQoyuUotxvQ1MW6krtvLd5M8tWrkJZrOxo7mVhtY8av4OWnhguuzlzQ2c4QSyZY1l96cCwlJ37e/HYdU6r9NDcGaErkqDEaaOyxHw/NsvR9q/ca6M9mMDv1Kk98lDJwXXkd9mGtKf5uh1cfjijHTfHtiXTzXQ85sdqLLFPJOfP2I5BeXk5VquVw4cPD1ne2dlJVVXVsNvY7Xbsdvtxyw3DmPQDohD7nCkMw7zPQLeMvx4MA9xO8zOq9LtHXAdH/z8wzOQDx5Y9dn/HbhvwOFlYffx+Ah7nsPte4LSzoGbk93Hu3DLA/OL6bVDhc1NbZtbDvAr/iNsFDGPIaw681jHljsbv5MzZx+8n/14r/W7OnF024usNV0/DLR/tcxlpP4OX5S9n5o+H4V7zVFOMHDGTc9J0z/lTuf9Cm07xD84j+Xw9OAcFDINlHifpdJrPdKgt9Q7E/mV5ye20843zjs9ngwU8Ts6aNfy6Sr9BwznHbz9cHh8tf+bvwcrHPriNGFz+zGFe/6pzj66fVeod8X3k93NsmWPraHB7mq/bsRruuBmpjZluptMxP16jxT6R9zT9um9jZLPZWLp0KY2NjUOWNzY2DrnMLIQQYuaTnC+EEIU3Y68YANx3333cfPPNLFu2jBUrVrBhwwZaWlq48847ix2aEEKISSY5XwghCmtGdwxuuOEGenp6eOyxx2hvb+fss8/m7bffpq6urtihCSGEmGSS84UQorBmdMcA4K677uKuu+4qdhhCCCGmgOR8IYQonBl7j4EQQgghhBBi8kjHQAghhBBCCCEdAyGEEEIIIYR0DIQQQgghhBBIx0AIIYQQQgiBdAyEEEIIIYQQnATTlZ4IpRQAoVBo0vaZTqeJxWKEQqEZ+3jtySD1YJJ6MEk9HFXMusjnunzuO9UUIucPNtOP85kcv8RePDM5/pM99onk/FO6YxAOhwGYM2dOkSMRQoipEw6H8fv9xQ5jyknOF0KcisaT8zV1qp46AnK5HG1tbXi9XjRNm5R9hkIh5syZw8GDB/H5fJOyz5lI6sEk9WCSejiqmHWhlCIcDlNbW4vFcuqNJC1Ezh9sph/nMzl+ib14ZnL8J3vsE8n5p/QVA4vFwuzZswuyb5/PN+MOskKQejBJPZikHo4qVl2cilcK8gqZ8web6cf5TI5fYi+emRz/yRz7eHP+qXfKSAghhBBCCHEc6RgIIYQQQgghpGMw2ex2O+vWrcNutxc7lKKSejBJPZikHo6Sujh5zfTPdibHL7EXz0yOX2I/3il987EQQgghhBDCJFcMhBBCCCGEENIxEEIIIYQQQkjHQAghhBBCCIF0DIQQQgghhBBIx2BKJJNJzjvvPDRN48MPPyx2OFNq//793HbbbdTX1+N0Opk/fz7r1q0jlUoVO7Qp8Yc//IH6+nocDgdLly7ln//8Z7FDmlJPPPEEX/3qV/F6vVRWVvKtb32LvXv3FjusonviiSfQNI01a9YUOxRxArZs2YKmacP+27Fjx4jb3XrrrceVX758+RRGbpo3b95xcaxdu3bUbZRSPProo9TW1uJ0Ovna177G7t27pyjioybathSr7sfbFmzdupWlS5ficDg47bTTeOGFFwoe43AmksNH+l588sknUxS16dFHHz0uhurq6lG3mS71Ptx3U9M07r777mHLT2adS8dgCjzwwAPU1tYWO4yi+OSTT8jlcvzxj39k9+7dPPvss7zwwgs8/PDDxQ6t4DZt2sSaNWt45JFHaGpqYtWqVVx11VW0tLQUO7Qps3XrVu6++262b99OY2MjmUyGhoYGotFosUMrmh07drBhwwa+8pWvFDsUcYJWrlxJe3v7kH+333478+bNY9myZaNu+/Wvf33Idm+//fYURT3UY489NiSOn//856OWf+qpp3jmmWd47rnn2LFjB9XV1Vx55ZWEw+Epith0Im3LVNf9eNuC5uZmvvGNb7Bq1Sqampp4+OGH+elPf8rrr79e0DiHcyI5fO/evUPqecGCBVMQ8VBnnXXWkBh27do1YtnpVO87duwYEndjYyMA119//ajbTUqdK1FQb7/9tlq8eLHavXu3AlRTU1OxQyq6p556StXX1xc7jIK74IIL1J133jlk2eLFi9XatWuLFFHxdXZ2KkBt3bq12KEURTgcVgsWLFCNjY3qkksuUffee2+xQxKTKJVKqcrKSvXYY4+NWu6WW25R11133dQENYq6ujr17LPPjrl8LpdT1dXV6le/+tXAskQiofx+v3rhhRcKEOH4jKVtKUbdj7cteOCBB9TixYuHLPvRj36kli9fXrAYx2osOXzz5s0KUH19fVMX2DDWrVunzj333DGXn871fu+996r58+erXC437PrJrHO5YlBAHR0d3HHHHbz88su4XK5ihzNt9Pf3U1paWuwwCiqVSrFz504aGhqGLG9oaGDbtm1Fiqr4+vv7AU76z38kd999N1dffTVXXHFFsUMRBfDWW2/R3d3Nrbfe+qVlt2zZQmVlJQsXLuSOO+6gs7Oz8AEO48knn6SsrIzzzjuP//mf/xl1KE5zczOHDx8ektfsdjuXXHLJtMhrY21bprLuJ9IW/Pvf/z6u/OrVq/nggw9Ip9MFi3UsxpPDlyxZQk1NDZdffjmbN28udGjD+uyzz6itraW+vp4bb7yRffv2jVh2utZ7KpXilVde4Yc//CGapo1adjLqXJ/QVuJLKaW49dZbufPOO1m2bBn79+8vdkjTwhdffMHvfvc7nn766WKHUlDd3d1ks1mqqqqGLK+qquLw4cNFiqq4lFLcd999XHTRRZx99tnFDmfKvfrqq+zcuZMPPvig2KGIAnnxxRdZvXo1c+bMGbXcVVddxfXXX09dXR3Nzc384he/4LLLLmPnzp1T+gTWe++9l/PPP59AIMB//vMfHnroIZqbm/nTn/40bPl87hourx04cKDg8Y5mrG3LVNf9RNqCw4cPD1s+k8nQ3d1NTU3NpMc5FmPN4TU1NWzYsIGlS5eSTCZ5+eWXufzyy9myZQsXX3zxlMV74YUX8uc//5mFCxfS0dHB+vXrWblyJbt376asrOy48tO13v/6178SDAZHPeEwqXV+wtccTjHr1q1TwKj/duzYoX7zm9+olStXqkwmo5RSqrm5+aQaSjTWehistbVVnX766eq2224rUtRTp7W1VQFq27ZtQ5avX79eLVq0qEhRFdddd92l6urq1MGDB4sdypRraWlRlZWV6sMPPxxYJkOJpq+J5LeDBw8qi8WiXnvttXG/XltbmzIMQ73++utFiT3vtddeU4Dq7u4edv3777+vANXW1jZk+e23365Wr159wrFPNP4TaVsms+6HM5G2YMGCBerxxx8fsuxf//qXAlR7e3tB4hyLE8nh11xzjfrmN79ZgKjGLhKJqKqqKvX0008Pu3661ntDQ4O65pprxr3dROtcrhiM009+8hNuvPHGUcvMmzeP9evXs3379uPOQCxbtozvfe97vPTSS4UMs+DGWg95bW1tXHrppaxYsYINGzYUOLriKy8vx2q1HndGqLOz87gzEqeCe+65h7feeov33nuP2bNnFzucKbdz5046OztZunTpwLJsNst7773Hc889RzKZxGq1FjFCMdh48xvAxo0bKSsr49prrx3369XU1FBXV8dnn3027m2PNZHY8/Kz83z++efDnlHNz+hy+PDhIWdPJzOvTXXbMpl1P5yJtAXV1dXDltd1fdjPZSqcaA5fvnw5r7zySgEiGzu3280555wz4mc9Hev9wIEDvPvuu7zxxhvj3naidS4dg3EqLy+nvLz8S8v99re/Zf369QN/t7W1sXr1ajZt2sSFF15YyBCnxFjrAaC1tZVLL72UpUuXsnHjRiyWk//WFpvNxtKlS2lsbOTb3/72wPLGxkauu+66IkY2tZRS3HPPPbz55pts2bKF+vr6YodUFJdffvlxs2H84Ac/YPHixTz44IPSKZhmxpPfwDzON27cyPe//30Mwxj36/X09HDw4MFJGaow3tgHa2pqAhgxjvr6eqqrq2lsbGTJkiWAOf5569atPPnkkxML+BhT3bZMZt0PZyJtwYoVK/jb3/42ZNk//vEPli1bNqHj60RMVg5vamoq2lCcvGQyyccff8yqVauGXT+d6j1v48aNVFZWcvXVV4972wnX+bivMYgJOdmGEo1V/hLvZZddpg4dOqTa29sH/p3sXn31VWUYhnrxxRfVnj171Jo1a5Tb7Vb79+8vdmhT5sc//rHy+/1qy5YtQz77WCxW7NCKToYSnTzeffddBag9e/YMu37RokXqjTfeUEqZM1Pdf//9atu2baq5uVlt3rxZrVixQs2aNUuFQqEpi3nbtm3qmWeeUU1NTWrfvn1q06ZNqra2Vl177bUjxq6UUr/61a+U3+9Xb7zxhtq1a5e66aabVE1NzZTGrtTY25bpUPdf1hasXbtW3XzzzQPl9+3bp1wul/rZz36m9uzZo1588UVlGMaEhqmdqLHk8GPjf/bZZ9Wbb76pPv30U/XRRx+ptWvXKqBgw7VGcv/996stW7aoffv2qe3bt6trrrlGeb3eGVHvSimVzWbV3Llz1YMPPnjcukLWuXQMpsip2jHYuHHjiONETwW///3vVV1dnbLZbOr8888/5abpHOmz37hxY7FDKzrpGJw8brrpJrVy5coR1w8+5mOxmGpoaFAVFRXKMAw1d+5cdcstt6iWlpYpita0c+dOdeGFFyq/368cDodatGiRWrdunYpGoyPGrpQ5Zem6detUdXW1stvt6uKLL1a7du2a0tiVGnvbMl3qfrS24JZbblGXXHLJkPJbtmxRS5YsUTabTc2bN089//zzBY9xOGPJ4cfG/+STT6r58+crh8OhAoGAuuiii9Tf//73KY/9hhtuUDU1NcowDFVbW6u+853vqN27d48Yt1LTp96VUuqdd95RgNq7d+9x6wpZ55pSSo3/OoMQQgghhBDiZHLyD/YWQgghhBBCfCnpGAghhBBCCCGkYyCEEEIIIYSQjoEQQgghhBAC6RgIIYQQQgghkI6BEEIIIYQQAukYCCGEEEIIIZCOgRBCCCGEEALpGAghhBBCCCGQjoEQQgghhBAC6RgIIYQQQgghkI6BEEIIIYQQAvj/IEd+3Ky8ztYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 30000\n",
    "plt.subplot(121)\n",
    "plt.scatter(data[:N], range(N), alpha=.1, s=1.5)\n",
    "plt.title('Input')\n",
    "plt.subplot(122)\n",
    "plt.title('Output')\n",
    "plt.scatter(g2(data[:N]), range(N), alpha=.1, s=1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original data is clearly Gaussian, but the data passed through `g2(x)` is no longer normally distributed. There is a thick band near -3, and the points are unequally distributed on either side of the band. If you compare this to the pdf labelled 'output' in the previous chart you should be able to see how the pdf shape matches the distribution of `g(data)`.\n",
    "\n",
    "Think of what this implies for the Kalman filter algorithm of the previous chapter. All of the equations assume that a Gaussian passed through the process function results in another Gaussian. If this is not true then all of the assumptions and guarantees of the Kalman filter do not hold. Let's look at what happens when we pass the output back through the function again, simulating the next step time step of the Kalman filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = g2(data)\n",
    "plot_nonlinear_func(y, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the probability function is further distorted from the original Gaussian. However, the graph is still somewhat symmetric around x=0, let's see what the mean is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input  mean, variance: -0.0006, 1.0033\n",
      "output mean, variance: -0.1243, 2.4105\n"
     ]
    }
   ],
   "source": [
    "print('input  mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(data), np.var(data)))\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(y), np.var(y)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare that to the linear function that passes through (-2,3) and (2,-3), which is very close to the nonlinear function we have plotted. Using the equation of a line we have\n",
    "\n",
    "$$m=\\frac{-3-3}{2-(-2)}=-1.5$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "output mean, variance: 0.0009, 2.2575\n"
     ]
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -1.5 * x\n",
    "\n",
    "plot_nonlinear_func(data, g3)\n",
    "out = g3(data)\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(out), np.var(out)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although the shapes of the output are very different, the mean and variance of each are almost the same. This may lead us to reasoning that perhaps we can ignore this problem if the nonlinear equation is 'close to' linear. To test that, we can iterate several times and then compare the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear    output mean, variance: 0.0511, 7506.6256\n",
      "nonlinear output mean, variance: -9.0540, 30529.4381\n"
     ]
    }
   ],
   "source": [
    "out = g3(data)\n",
    "out2 = g2(data)\n",
    "\n",
    "for i in range(10):\n",
    "    out = g3(out)\n",
    "    out2 = g2(out2)\n",
    "print('linear    output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out), np.std(out)**2))\n",
    "print('nonlinear output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out2), np.std(out2)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately the nonlinear version is not stable. It drifted significantly from the mean of 0, and the variance is half an order of magnitude larger.\n",
    "\n",
    "I minimized the issue by using a function that is quite close to a straight line. What happens if the function is $y(x)=-x^2$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -x*x\n",
    "\n",
    "data = normal(loc=1, scale=1, size=500000)\n",
    "plot_nonlinear_func(data, g3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Despite the curve being smooth and reasonably straight at $x=1$ the probability distribution of the output doesn't look anything like a Gaussian and the computed mean of the output is quite different than the value computed directly. This is not an unusual function - a ballistic object moves in a parabola, and this is the sort of nonlinearity your filter will need to handle. If you recall we've tried to track a ball and failed miserably. This graph should give you insight into why the filter performed so poorly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A 2D Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is hard to look at probability distributions and reason about what will happen in a filter. So let's think about tracking an aircraft with radar. The estimate may have a covariance that looks like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.nonlinear_internal as nonlinear_internal\n",
    "\n",
    "nonlinear_internal.plot1()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happens when we try to linearize this problem? The radar gives us a range to the aircraft. Suppose the radar is directly under the aircraft (x=10) and the next measurement states that the aircraft is 3 miles away (y=3). The positions that could match that measurement form a circle with radius 3 miles, like so."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot2()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see by inspection that the probable position of the aircraft is somewhere near x=11.4, y=2.7 because that is where the covariance ellipse and range measurement overlap. But the range measurement is nonlinear so we have to linearize it. We haven't covered this material yet, but the Extended Kalman filter will linearize at the last position of the aircraft - (10,2). At x=10 the range measurement has y=3, and so we linearize at that point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot3()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have a linear representation of the problem (literally a straight line) which we can solve. Unfortunately you can see that the intersection of the line and the covariance ellipse is a long way from the actual aircraft position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot4()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That sort of error often leads to disastrous results. The error in this estimate is large. But in the next innovation of the filter that very bad estimate will be used to linearize the next radar measurement, so the next estimate is likely to be markedly worse than this one. After only a few iterations the Kalman filter will diverge, and start producing results that have no correspondence to reality.\n",
    "\n",
    "This covariance ellipse spans miles. I exaggerated the size to illustrate the difficulties of highly nonlinear systems. In real radar tracking problems the nonlinearity is usually not that bad, but the errors will still accumulate. Other systems you might work with could have this amount of nonlinearity - this was not an exaggeration only to make a point. You will always be battling divergence when working with nonlinear systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Algorithms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You may be impatient to solve a specific problem, and wondering which filter to use. I will quickly survey the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n",
    "\n",
    "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter* (EKF). These two techniques were invented shortly after Kalman published his paper and they have been the main techniques used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n",
    "\n",
    "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces more error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You cannot throw some equations into some arbitrary solver and expect to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the EKF despite it being the most frequently used technique in real world applications. \n",
    "\n",
    "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *Monte Carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabilistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations there is a clump of particles closely tracking your object, and a sparse cloud of points where there is no object.\n",
    "\n",
    "This has two benefits. First, the algorithm is robust even for extremely nonlinear problems. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior of one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n",
    "\n",
    "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a good problem for GPUs because the part of the algorithm is parallelizable. Another cost is that the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean and standard deviations of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce a state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n",
    "\n",
    "\n",
    "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF). It does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does well with nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out on the UKF, but to my mind the UKF is superior in almost every way to the EKF. I suggest that the UKF should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in control theory. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. It has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this filter as your starting point. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The world is nonlinear, but we only really know how to solve linear problems. This introduces significant difficulties for Kalman filters. We've looked at how nonlinearity affects filtering in 3 different but equivalent ways, and I've given you a brief summary of the major appoaches: the linearized Kalman filter, the extended Kalman filter, the Unscented Kalman filter, and the particle filter. \n",
    "\n",
    "Until recently the linearized Kalman filter and EKF have been the standard way to solve these problems. They are very difficult to understand and use, and they are also potentially very unstable. \n",
    "\n",
    "Recent developments have offered what are to my mind superior approaches. The UKF dispenses with the need to find solutions to partial differential equations, yet it is also usually more accurate than the EKF. It is easy to use and understand. I can get a basic UKF going in a few minutes by using FilterPy. The particle filter dispenses with mathematical modeling completely in favor of a Monte Carlo technique of generating a random cloud of thousands of points. It runs slowly, but it can solve otherwise intractable problems with relative ease.\n",
    "\n",
    "I get more email about the EKF than anything else; I suspect that this is because most treatments in books, papers, and on the internet use the EKF. If your interest is in mastering the field of course you will want to learn about the EKF. But if you are just trying to get good results I point you to the UKF and particle filter first. They are much easier to implement, understand, and use, and they are typically far more stable than the EKF. \n",
    "\n",
    "Some will quibble with that advice. A lot of recent publications are devoted to a comparison of the EKF, UKF, and perhaps a few other choices for a given problem. Do you not need to perform a similar comparison for your problem? If you are sending a rocket to Mars then of course you do. You will be balancing issues such as accuracy, round off errors, divergence, mathematical proof of correctness, and the computational effort required. I can't imagine not knowing the EKF intimately. \n",
    "\n",
    "On the other hand the UKF works spectacularly! I use it at work for real world applications. I mostly haven't even tried to implement an EKF for these applications because I can verify that the UKF is working fine. Is it possible that I might eke out another 0.2% of performance from the EKF in certain situations? Sure! Do I care? No! I completely understand the UKF implementation, it is easy to test and verify, I can pass the code to others and be confident that they can understand and modify it, and I am not a masochist that wants to battle difficult equations when I already have a working solution. If the UKF or particle filters start to perform poorly for some problem then I will turn to other techniques, but not before then. And realistically, the UKF usually provides substantially better performance than the EKF over a wide range of problems and conditions. If \"really good\" is good enough I'm going to spend my time working on other problems. \n",
    "\n",
    "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But as I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "<A name=\"[1]\">[1]</A> https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb"
   ]
  }
 ],
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